What is the Least Common Multiple of 78021 and 78039?

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 78021 and 78039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78021 and 78039, than apply into the LCM equation.

GCF(78021,78039) = 9
LCM(78021,78039) = ( 78021 × 78039) / 9
LCM(78021,78039) = 6088680819 / 9
LCM(78021,78039) = 676520091

Least Common Multiple (LCM) of 78021 and 78039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78021 and 78039. First we will calculate the prime factors of 78021 and 78039.

Prime Factorization of 78021

Prime Factorization of 78039

Now multiplying the highest exponent prime factors to calculate the LCM of 78021 and 78039.

LCM(78021,78039) = 3² × 8669¹ × 13¹ × 23¹ × 29¹
LCM(78021,78039) = 676520091