What is the Least Common Multiple of 87546 and 87552?

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 87546 and 87552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87546 and 87552, than apply into the LCM equation.

GCF(87546,87552) = 6
LCM(87546,87552) = ( 87546 × 87552) / 6
LCM(87546,87552) = 7664827392 / 6
LCM(87546,87552) = 1277471232

Least Common Multiple (LCM) of 87546 and 87552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87546 and 87552. First we will calculate the prime factors of 87546 and 87552.

Prime Factorization of 87546

Prime Factorization of 87552

Now multiplying the highest exponent prime factors to calculate the LCM of 87546 and 87552.

LCM(87546,87552) = 2⁹ × 3² × 14591¹ × 19¹
LCM(87546,87552) = 1277471232