What is the Least Common Multiple of 78264 and 78284?

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 78264 and 78284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78264 and 78284, than apply into the LCM equation.

GCF(78264,78284) = 4
LCM(78264,78284) = ( 78264 × 78284) / 4
LCM(78264,78284) = 6126818976 / 4
LCM(78264,78284) = 1531704744

Least Common Multiple (LCM) of 78264 and 78284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78264 and 78284. First we will calculate the prime factors of 78264 and 78284.

Prime Factorization of 78264

Prime Factorization of 78284

Now multiplying the highest exponent prime factors to calculate the LCM of 78264 and 78284.

LCM(78264,78284) = 2³ × 3² × 1087¹ × 19571¹
LCM(78264,78284) = 1531704744