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What is the Least Common Multiple of 2020 and 2039?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2020 and 2039 is 4118780.

LCM(2020,2039) = 4118780

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Least Common Multiple of 2020 and 2039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2020 and 2039, than apply into the LCM equation.

GCF(2020,2039) = 1
LCM(2020,2039) = ( 2020 × 2039) / 1
LCM(2020,2039) = 4118780 / 1
LCM(2020,2039) = 4118780

Least Common Multiple (LCM) of 2020 and 2039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2020 and 2039. First we will calculate the prime factors of 2020 and 2039.

Prime Factorization of 2020

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

2020 = 22 × 51 × 1011

Prime Factorization of 2039

Prime factors of 2039 are 2039. Prime factorization of 2039 in exponential form is:

2039 = 20391

Now multiplying the highest exponent prime factors to calculate the LCM of 2020 and 2039.

LCM(2020,2039) = 22 × 51 × 1011 × 20391
LCM(2020,2039) = 4118780