What is the Least Common Multiple of 87536 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 87536 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 87536 and 87552, than apply into the LCM equation.

GCF(87536,87552) = 16
LCM(87536,87552) = ( 87536 × 87552) / 16
LCM(87536,87552) = 7663951872 / 16
LCM(87536,87552) = 478996992

Least Common Multiple (LCM) of 87536 and 87552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87536 and 87552. First we will calculate the prime factors of 87536 and 87552.

Prime Factorization of 87536

Prime Factorization of 87552

Now multiplying the highest exponent prime factors to calculate the LCM of 87536 and 87552.

LCM(87536,87552) = 2⁹ × 5471¹ × 3² × 19¹
LCM(87536,87552) = 478996992