LCM the 8 and 18 is the smallest number amongst all common multiples of 8 and also 18. The first few multiples of 8 and also 18 space (8, 16, 24, 32, . . . ) and also (18, 36, 54, 72, 90, 108, 126, . . . ) respectively. There room 3 typically used methods to discover LCM that 8 and also 18 - by prime factorization, by department method, and by listing multiples.

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1.LCM the 8 and also 18
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 8 and also 18 is 72.

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Explanation:

The LCM of two non-zero integers, x(8) and also y(18), is the smallest hopeful integer m(72) the is divisible through both x(8) and y(18) without any kind of remainder.


Let's look at the different methods because that finding the LCM that 8 and also 18.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM of 8 and 18 by element Factorization

Prime administer of 8 and also 18 is (2 × 2 × 2) = 23 and also (2 × 3 × 3) = 21 × 32 respectively. LCM the 8 and also 18 deserve to be acquired by multiply prime components raised to their respective highest possible power, i.e. 23 × 32 = 72.Hence, the LCM the 8 and also 18 by prime factorization is 72.

LCM that 8 and also 18 by division Method

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To calculate the LCM the 8 and also 18 by the department method, we will divide the numbers(8, 18) by your prime components (preferably common). The product of this divisors provides the LCM that 8 and 18.

Step 3: continue the procedures until just 1s room left in the last row.

The LCM the 8 and also 18 is the product of every prime numbers on the left, i.e. LCM(8, 18) by division method = 2 × 2 × 2 × 3 × 3 = 72.

LCM the 8 and also 18 by Listing Multiples

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To calculate the LCM the 8 and 18 by listing out the usual multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples that 8 (8, 16, 24, 32, . . . ) and 18 (18, 36, 54, 72, 90, 108, 126, . . . . )Step 2: The common multiples from the multiples the 8 and 18 space 72, 144, . . .Step 3: The smallest common multiple of 8 and also 18 is 72.

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∴ The least typical multiple that 8 and 18 = 72.