What is the Least Common Multiple of 78264 and 78278?

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 78278 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 78278, than apply into the LCM equation.

GCF(78264,78278) = 2
LCM(78264,78278) = ( 78264 × 78278) / 2
LCM(78264,78278) = 6126349392 / 2
LCM(78264,78278) = 3063174696

Least Common Multiple (LCM) of 78264 and 78278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78264 and 78278. First we will calculate the prime factors of 78264 and 78278.

Prime Factorization of 78264

Prime Factorization of 78278

Now multiplying the highest exponent prime factors to calculate the LCM of 78264 and 78278.

LCM(78264,78278) = 2³ × 3² × 1087¹ × 39139¹
LCM(78264,78278) = 3063174696