Least Common Multiple of 2016 and 2020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2016 and 2020 the smallest integer that is 1018080 that is divisible by both numbers.

Least Common Multiple (LCM) of 2016 and 2020 is 1018080.

LCM(2016,2020) = 1018080

LCM of 2016 and 2020

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2016 and 2020

LCM of 2016 and 2020 is 1018080

Least common multiple can be found by multiplying the highest exponent prime factors of 2016 and 2020. First we will calculate the prime factors of 2016 and 2020.

Prime Factorization of 2016


2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 2016 are 2, 3,7. Prime factorization of 2016 in exponential form is:

2016 = 25×32×71

Prime Factorization of 2020


2 2020
2 1010
5 505
101 101
1

Prime factors of 2020 are 2, 5,101. Prime factorization of 2020 in exponential form is:

2020 = 22×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2016 and 2020.

LCM(2016,2020) = 25×32×51×71×1011
LCM(2016,2020) = 1018080

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016

Factors of 2020

List of positive integer factors of 2020 that divides 2020 without a remainder.

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020

Least Common Multiple of 2016 and 2020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2016 and 2020, than apply into the LCM equation.

GCF(2016,2020) = 4
LCM(2016,2020) = ( 2016 × 2020) / 4
LCM(2016,2020) = 4072320 / 4
LCM(2016,2020) = 1018080

Properties of LCM 2016 and 2020

(i) The LCM of 2020 and 2016 is associative

LCM of 2016 and 2020 = LCM of 2020 and 2016

Related Least Common Multiples of 2016

Related Least Common Multiples of 2020

Frequently Asked Questions on LCM of 2016 and 2020

1. What is the LCM of 2016 and 2020?

Answer: LCM of 2016 and 2020 is 1018080.

2. What are the Factors of 2016?

Answer: Factors of 2016 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016. There are 36 integers that are factors of 2016. The greatest factor of 2016 is 2016.

3. What are the Factors of 2020?

Answer: Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020. There are 12 integers that are factors of 2020. The greatest factor of 2020 is 2020.

4. How to Find the LCM of 2016 and 2020?

Answer:

Least Common Multiple of 2016 and 2020 = 1018080

Step 1: Find the prime factorization of 2016

2016 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 2020

2020 = 2 x 2 x 5 x 101

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1018080 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 101

Step 4: Therefore, the least common multiple of 2016 and 2020 is 1018080.