LCM of 16 and 20 is the smallest number among all common multiples of 16 and 20. The first few multiples of 16 and 20 are (16, 32, 48, 64, 80, 96, . . . ) and (20, 40, 60, 80, 100, . . . ) respectively. There are 3 commonly used methods to find LCM of 16 and 20 - by division method, by prime factorization, and 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 y(20) without any remainder.


Let's look at the different methods 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 division method, we will divide the numbers(16, 20) by their prime factors (preferably common). The product of these divisors gives the LCM of 16 and 20.

Step 3: Continue the steps until only 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 division method = 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 (2 × 2 × 5) = 22 × 51 respectively. LCM of 16 and 20 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 24 × 51 = 80.Hence, the LCM of 16 and 20 by prime factorization is 80.

LCM of 16 and 20 by Listing Multiples

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To calculate the LCM of 16 and 20 by listing out the common multiples, we can follow the given below steps:

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

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