LCM that 16 and 20 is the the smallest number amongst all common multiples that 16 and 20. The first couple of multiples the 16 and also 20 room (16, 32, 48, 64, 80, 96, . . . ) and also (20, 40, 60, 80, 100, . . . ) respectively. There room 3 commonly used techniques to find LCM that 16 and 20 - by division method, by element factorization, and also by listing multiples.

You are watching: What is the least common multiple of 16 and 20

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

Answer: LCM the 16 and 20 is 80.

*

Explanation:

The LCM of 2 non-zero integers, x(16) and y(20), is the smallest confident integer m(80) the is divisible through both x(16) and also y(20) without any type of remainder.


Let's look at the various methods for finding the LCM that 16 and 20.

By department MethodBy element Factorization MethodBy Listing Multiples

LCM that 16 and 20 by department Method

*

To calculation the LCM of 16 and also 20 by the department method, we will divide the numbers(16, 20) by your prime determinants (preferably common). The product of these divisors provides the LCM of 16 and also 20.

Step 3: continue the actions until just 1s space left in the critical row.

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

LCM the 16 and 20 by prime Factorization

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

LCM that 16 and also 20 through Listing Multiples

*

To calculation the LCM that 16 and 20 by listing the end the typical multiples, we can follow the given listed below steps:

Step 1: list a few multiples the 16 (16, 32, 48, 64, 80, 96, . . . ) and 20 (20, 40, 60, 80, 100, . . . . )Step 2: The common multiples indigenous the multiples the 16 and 20 room 80, 160, . . .Step 3: The smallest typical multiple of 16 and also 20 is 80.

See more: How Far Is Cheyenne Wyoming From Denver, Co And Cheyenne, Wy

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