LCM of 15 and 25 is the smallest number among all typical multiples the 15 and also 25. The first few multiples that 15 and 25 space (15, 30, 45, 60, 75, . . . ) and also (25, 50, 75, 100, 125, 150, 175, . . . ) respectively. There space 3 typically used methods to discover LCM the 15 and 25 - through listing multiples, by department method, and by element factorization.

You are watching: What is the least common multiple of 15 and 25

 1 LCM the 15 and 25 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM the 15 and 25 is 75. Explanation:

The LCM of 2 non-zero integers, x(15) and also y(25), is the smallest hopeful integer m(75) the is divisible by both x(15) and also y(25) without any type of remainder.

The approaches to uncover the LCM of 15 and 25 are defined below.

By element Factorization MethodBy Listing MultiplesBy division Method

### LCM the 15 and 25 by prime Factorization

Prime administer of 15 and also 25 is (3 × 5) = 31 × 51 and (5 × 5) = 52 respectively. LCM that 15 and also 25 have the right to be derived by multiply prime determinants raised to their respective highest possible power, i.e. 31 × 52 = 75.Hence, the LCM that 15 and also 25 by element factorization is 75.

### LCM that 15 and also 25 through Listing Multiples To calculation the LCM of 15 and also 25 by listing out the typical multiples, we can follow the given below steps:

Step 1: list a couple of multiples the 15 (15, 30, 45, 60, 75, . . . ) and 25 (25, 50, 75, 100, 125, 150, 175, . . . . )Step 2: The common multiples from the multiples that 15 and also 25 space 75, 150, . . .Step 3: The smallest common multiple that 15 and 25 is 75.

∴ The least typical multiple of 15 and also 25 = 75.

### LCM the 15 and also 25 by division Method To calculate the LCM the 15 and 25 by the department method, we will certainly divide the numbers(15, 25) by your prime components (preferably common). The product of this divisors offers the LCM of 15 and 25.

Step 3: proceed the procedures until just 1s space left in the last row.

See more: What Is 48 Divided By 6 ? What Is 48 Divided By 6 Using Long Division

The LCM that 15 and also 25 is the product of every prime number on the left, i.e. LCM(15, 25) by division method = 3 × 5 × 5 = 75.