LCM of 16 and 20 is the smallest number among all common multiples of 16 and 20. The initially few multiples of 16 and also 20 are (16, 32, 48, 64, 80, 96, . . . ) and also (20, 40, 60, 80, 100, . . . ) respectively. Tright here are 3 commonly used approaches to uncover LCM of 16 and 20 - by department method, by prime factorization, and by listing multiples.

You are watching: What is the lcm of 16 and 20

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

Answer: LCM of 16 and 20 is 80.

*

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 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 also 20 by Division Method

*

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

Step 3: Continue the steps until just 1s are left in the last row.

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

LCM of 16 and also 20 by Prime Factorization

Prime factorization of 16 and 20 is (2 × 2 × 2 × 2) = 24 and (2 × 2 × 5) = 22 × 51 respectively. LCM of 16 and also 20 have the right to be derived by multiplying prime components increased to their respective greatest power, i.e. 24 × 51 = 80.Hence, the LCM of 16 and also 20 by prime factorization is 80.

LCM of 16 and 20 by Listing Multiples

*

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

Step 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 20 are 80, 160, . . .Step 3: The smallest widespread multiple of 16 and 20 is 80.

See more: The Closest Ocean Beach To Kansas City, Mo (2021) Top Beach Spots!

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