What is the Least Common Multiple of 78032 and 78038?

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 78032 and 78038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78032 and 78038, than apply into the LCM equation.

GCF(78032,78038) = 2
LCM(78032,78038) = ( 78032 × 78038) / 2
LCM(78032,78038) = 6089461216 / 2
LCM(78032,78038) = 3044730608

Least Common Multiple (LCM) of 78032 and 78038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78032 and 78038. First we will calculate the prime factors of 78032 and 78038.

Prime Factorization of 78032

Prime Factorization of 78038

Now multiplying the highest exponent prime factors to calculate the LCM of 78032 and 78038.

LCM(78032,78038) = 2⁴ × 4877¹ × 39019¹
LCM(78032,78038) = 3044730608