Least Common Multiple of 2012 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 2012 and 2020 the smallest integer that is 1016060 that is divisible by both numbers.

Least Common Multiple (LCM) of 2012 and 2020 is 1016060.

LCM(2012,2020) = 1016060

LCM of 2012 and 2020

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

LCM of:
and

Least Common Multiple of 2012 and 2020

LCM of 2012 and 2020 is 1016060

Least common multiple can be found by multiplying the highest exponent prime factors of 2012 and 2020. First we will calculate the prime factors of 2012 and 2020.

Prime Factorization of 2012


2 2012
2 1006
503 503
1

Prime factors of 2012 are 2,503. Prime factorization of 2012 in exponential form is:

2012 = 22×5031

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 2012 and 2020.

LCM(2012,2020) = 22×51×1011×5031
LCM(2012,2020) = 1016060

Factors of 2012

List of positive integer factors of 2012 that divides 2012 without a remainder.

1, 2, 4, 503, 1006, 2012

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 2012 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 2012 and 2020, than apply into the LCM equation.

GCF(2012,2020) = 4
LCM(2012,2020) = ( 2012 × 2020) / 4
LCM(2012,2020) = 4064240 / 4
LCM(2012,2020) = 1016060

Properties of LCM 2012 and 2020

(i) The LCM of 2020 and 2012 is associative

LCM of 2012 and 2020 = LCM of 2020 and 2012

Related Least Common Multiples of 2012

Related Least Common Multiples of 2020

Frequently Asked Questions on LCM of 2012 and 2020

1. What is the LCM of 2012 and 2020?

Answer: LCM of 2012 and 2020 is 1016060.

2. What are the Factors of 2012?

Answer: Factors of 2012 are 1, 2, 4, 503, 1006, 2012. There are 6 integers that are factors of 2012. The greatest factor of 2012 is 2012.

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 2012 and 2020?

Answer:

Least Common Multiple of 2012 and 2020 = 1016060

Step 1: Find the prime factorization of 2012

2012 = 2 x 2 x 503

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 = 1016060 = 2 x 2 x 5 x 101 x 503

Step 4: Therefore, the least common multiple of 2012 and 2020 is 1016060.