LCM that 12 and also 13 is the smallest number amongst all usual multiples the 12 and also 13. The first couple of multiples that 12 and 13 space (12, 24, 36, 48, 60, 72, . . . ) and also (13, 26, 39, 52, 65, . . . ) respectively. There space 3 commonly used techniques to discover LCM the 12 and 13 - by department method, by element factorization, and by listing multiples.

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1.LCM of 12 and 13
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and 13 is 156.

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Explanation:

The LCM of 2 non-zero integers, x(12) and also y(13), is the smallest positive integer m(156) that is divisible by both x(12) and also y(13) without any type of remainder.


Let's look at the different methods because that finding the LCM of 12 and also 13.

By department MethodBy Listing MultiplesBy prime Factorization Method

LCM the 12 and also 13 by division Method

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To calculate the LCM of 12 and 13 by the department method, we will divide the numbers(12, 13) by your prime determinants (preferably common). The product of this divisors offers the LCM the 12 and 13.

Step 3: continue the steps until just 1s room left in the critical row.

The LCM that 12 and 13 is the product of all prime numbers on the left, i.e. LCM(12, 13) by division method = 2 × 2 × 3 × 13 = 156.

LCM of 12 and also 13 by Listing Multiples

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To calculate the LCM that 12 and also 13 through listing the end the common multiples, we can follow the given below steps:

Step 1: perform a few multiples of 12 (12, 24, 36, 48, 60, 72, . . . ) and 13 (13, 26, 39, 52, 65, . . . . )Step 2: The common multiples from the multiples the 12 and 13 space 156, 312, . . .Step 3: The smallest common multiple of 12 and 13 is 156.

∴ The least typical multiple of 12 and 13 = 156.

LCM that 12 and 13 by prime Factorization

Prime administrate of 12 and 13 is (2 × 2 × 3) = 22 × 31 and also (13) = 131 respectively. LCM of 12 and also 13 have the right to be derived by multiplying prime determinants raised to their respective highest power, i.e. 22 × 31 × 131 = 156.Hence, the LCM that 12 and also 13 by element factorization is 156.

☛ additionally Check:


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FAQs ~ above LCM that 12 and also 13

What is the LCM that 12 and also 13?

The LCM the 12 and 13 is 156. To uncover the LCM (least typical multiple) that 12 and also 13, we need to uncover the multiples of 12 and 13 (multiples that 12 = 12, 24, 36, 48 . . . . 156; multiples of 13 = 13, 26, 39, 52 . . . . 156) and choose the the smallest multiple that is specifically divisible by 12 and also 13, i.e., 156.

Which of the adhering to is the LCM the 12 and 13? 156, 35, 15, 42

The value of LCM that 12, 13 is the smallest typical multiple the 12 and also 13. The number satisfying the given problem is 156.

If the LCM that 13 and 12 is 156, discover its GCF.

LCM(13, 12) × GCF(13, 12) = 13 × 12Since the LCM that 13 and also 12 = 156⇒ 156 × GCF(13, 12) = 156Therefore, the greatest common factor (GCF) = 156/156 = 1.

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How to uncover the LCM the 12 and 13 by prime Factorization?

To uncover the LCM of 12 and also 13 using prime factorization, us will find the prime factors, (12 = 2 × 2 × 3) and also (13 = 13). LCM of 12 and 13 is the product that prime determinants raised to your respective highest possible exponent among the number 12 and also 13.⇒ LCM the 12, 13 = 22 × 31 × 131 = 156.

What space the methods to discover LCM that 12 and 13?

The typically used methods to discover the LCM the 12 and 13 are: