What is the Least Common Multiple of 62021 and 62039?

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 of 62021 and 62039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62021 and 62039, than apply into the LCM equation.

GCF(62021,62039) = 1
LCM(62021,62039) = ( 62021 × 62039) / 1
LCM(62021,62039) = 3847720819 / 1
LCM(62021,62039) = 3847720819

Least Common Multiple (LCM) of 62021 and 62039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62021 and 62039. First we will calculate the prime factors of 62021 and 62039.

Prime Factorization of 62021

Prime Factorization of 62039

Now multiplying the highest exponent prime factors to calculate the LCM of 62021 and 62039.

LCM(62021,62039) = 109¹ × 569¹ × 62039¹
LCM(62021,62039) = 3847720819