What is the Least Common Multiple of 78564 and 78576?

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 78564 and 78576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78564 and 78576, than apply into the LCM equation.

GCF(78564,78576) = 12
LCM(78564,78576) = ( 78564 × 78576) / 12
LCM(78564,78576) = 6173244864 / 12
LCM(78564,78576) = 514437072

Least Common Multiple (LCM) of 78564 and 78576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78564 and 78576. First we will calculate the prime factors of 78564 and 78576.

Prime Factorization of 78564

Prime Factorization of 78576

Now multiplying the highest exponent prime factors to calculate the LCM of 78564 and 78576.

LCM(78564,78576) = 2⁴ × 3¹ × 6547¹ × 1637¹
LCM(78564,78576) = 514437072