LCM of 16 and also 20 is the smallest number among all common multiples of 16 and also 20. The first few multiples of 16 and 20 are (16, 32, 48, 64, 80, 96, . . . ) and (20, 40, 60, 80, 100, . . . ) respectively. Tbelow are 3 typically used approaches to find LCM of 16 and also 20 - by division approach, by prime factorization, and also by listing multiples.

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1.LCM of 16 and 20
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 16 and 20 is 80.

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Explanation:

The LCM of two non-zero integers, x(16) and y(20), is the smallest positive integer m(80) that is divisible by both x(16) and also y(20) without any type of remainder.


Let's look at the different approaches for finding the LCM of 16 and 20.

By Division MethodBy Prime Factorization MethodBy Listing Multiples

LCM of 16 and 20 by Division Method

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To calculate the LCM of 16 and 20 by the department approach, we will certainly divide the numbers(16, 20) by their prime factors (preferably common). The product of these divisors provides the LCM of 16 and also 20.

Step 3: Continue the procedures till only 1s are left in the last row.

The LCM of 16 and also 20 is the product of all prime numbers on the left, i.e. LCM(16, 20) by department strategy = 2 × 2 × 2 × 2 × 5 = 80.

LCM of 16 and 20 by Prime Factorization

Prime factorization of 16 and 20 is (2 × 2 × 2 × 2) = 24 and also (2 × 2 × 5) = 22 × 51 respectively. LCM of 16 and 20 can be acquired by multiplying prime components raised to their particular highest possible power, i.e. 24 × 51 = 80.Hence, the LCM of 16 and also 20 by prime factorization is 80.

LCM of 16 and also 20 by Listing Multiples

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To calculate the LCM of 16 and 20 by listing out the common multiples, we deserve to follow the offered listed below steps:

Tip 1: List a couple of multiples of 16 (16, 32, 48, 64, 80, 96, . . . ) and also 20 (20, 40, 60, 80, 100, . . . . )Step 2: The prevalent multiples from the multiples of 16 and also 20 are 80, 160, . . .Tip 3: The smallest prevalent multiple of 16 and 20 is 80.

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∴ The leastern common multiple of 16 and also 20 = 80.