LCM the 16 and 20 is the the smallest number amongst all common multiples the 16 and 20. The first few multiples the 16 and also 20 are (16, 32, 48, 64, 80, 96, . . . ) and also (20, 40, 60, 80, 100, . . . ) respectively. There are 3 typically used techniques to find LCM the 16 and also 20 - by department method, by prime factorization, and also by listing multiples.

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

Answer: LCM of 16 and also 20 is 80.

Explanation:

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

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

By department MethodBy element Factorization MethodBy Listing Multiples

### LCM of 16 and also 20 by department Method

To calculate the LCM the 16 and 20 through the department method, we will certainly divide the numbers(16, 20) by their prime determinants (preferably common). The product of this divisors provides the LCM the 16 and 20.

Step 3: proceed the measures until just 1s room left in the critical row.

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

### LCM that 16 and 20 by element Factorization

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

### LCM of 16 and also 20 through Listing Multiples

To calculate the LCM the 16 and also 20 by listing the end the usual multiples, we deserve to follow the given below steps:

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

See more: How Many Positive Integers Less Than 1000 Have Distinct Digits ?

∴ The least usual multiple the 16 and also 20 = 80.