LCM the 15 and 18 is the smallest number among all usual multiples the 15 and also 18. The first few multiples that 15 and 18 room (15, 30, 45, 60, 75, 90, . . . ) and (18, 36, 54, 72, 90, . . . ) respectively. There room 3 commonly used methods to find LCM the 15 and 18 - by division method, by prime factorization, and by listing multiples.

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 1 LCM that 15 and 18 2 List of Methods 3 Solved Examples 4 FAQs

Answer: LCM the 15 and 18 is 90.

Explanation:

The LCM of two non-zero integers, x(15) and also y(18), is the smallest positive integer m(90) the is divisible by both x(15) and y(18) without any kind of remainder.

The approaches to uncover the LCM that 15 and 18 are explained below.

By Listing MultiplesBy element Factorization MethodBy department Method

### LCM the 15 and also 18 by Listing Multiples

To calculate the LCM the 15 and also 18 by listing out the common multiples, we deserve to follow the given listed below steps:

Step 1: perform a few multiples that 15 (15, 30, 45, 60, 75, 90, . . . ) and 18 (18, 36, 54, 72, 90, . . . . )Step 2: The typical multiples native the multiples of 15 and also 18 are 90, 180, . . .Step 3: The smallest common multiple that 15 and 18 is 90.

∴ The least typical multiple that 15 and also 18 = 90.

### LCM of 15 and also 18 by element Factorization

Prime administer of 15 and also 18 is (3 × 5) = 31 × 51 and also (2 × 3 × 3) = 21 × 32 respectively. LCM the 15 and 18 can be derived by multiplying prime determinants raised to your respective greatest power, i.e. 21 × 32 × 51 = 90.Hence, the LCM the 15 and 18 by prime factorization is 90.

### LCM of 15 and 18 by division Method

To calculate the LCM the 15 and 18 through the division method, we will divide the numbers(15, 18) by their prime factors (preferably common). The product of these divisors provides the LCM that 15 and also 18.

Step 3: proceed the procedures until just 1s are left in the critical row.

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The LCM the 15 and 18 is the product of every prime number on the left, i.e. LCM(15, 18) by department method = 2 × 3 × 3 × 5 = 90.