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What is the Least Common Multiple of 2004 and 2021?

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 2004 and 2021 is 4050084.

LCM(2004,2021) = 4050084

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Least Common Multiple of 2004 and 2021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2004 and 2021, than apply into the LCM equation.

GCF(2004,2021) = 1
LCM(2004,2021) = ( 2004 × 2021) / 1
LCM(2004,2021) = 4050084 / 1
LCM(2004,2021) = 4050084

Least Common Multiple (LCM) of 2004 and 2021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2004 and 2021. First we will calculate the prime factors of 2004 and 2021.

Prime Factorization of 2004

Prime factors of 2004 are 2, 3, 167. Prime factorization of 2004 in exponential form is:

2004 = 22 × 31 × 1671

Prime Factorization of 2021

Prime factors of 2021 are 43, 47. Prime factorization of 2021 in exponential form is:

2021 = 431 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2004 and 2021.

LCM(2004,2021) = 22 × 31 × 1671 × 431 × 471
LCM(2004,2021) = 4050084