What is the Least Common Multiple of 69021 and 69039?

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 69021 and 69039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69021 and 69039, than apply into the LCM equation.

GCF(69021,69039) = 9
LCM(69021,69039) = ( 69021 × 69039) / 9
LCM(69021,69039) = 4765140819 / 9
LCM(69021,69039) = 529460091

Least Common Multiple (LCM) of 69021 and 69039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69021 and 69039. First we will calculate the prime factors of 69021 and 69039.

Prime Factorization of 69021

Prime Factorization of 69039

Now multiplying the highest exponent prime factors to calculate the LCM of 69021 and 69039.

LCM(69021,69039) = 3³ × 7669¹ × 2557¹
LCM(69021,69039) = 529460091