What is the Least Common Multiple of 78252 and 78264?

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 78252 and 78264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78252 and 78264, than apply into the LCM equation.

GCF(78252,78264) = 12
LCM(78252,78264) = ( 78252 × 78264) / 12
LCM(78252,78264) = 6124314528 / 12
LCM(78252,78264) = 510359544

Least Common Multiple (LCM) of 78252 and 78264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78252 and 78264. First we will calculate the prime factors of 78252 and 78264.

Prime Factorization of 78252

Prime Factorization of 78264

Now multiplying the highest exponent prime factors to calculate the LCM of 78252 and 78264.

LCM(78252,78264) = 2³ × 3² × 6521¹ × 1087¹
LCM(78252,78264) = 510359544