What is the Least Common Multiple of 87936 and 87952?

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 87936 and 87952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87936 and 87952, than apply into the LCM equation.

GCF(87936,87952) = 16
LCM(87936,87952) = ( 87936 × 87952) / 16
LCM(87936,87952) = 7734147072 / 16
LCM(87936,87952) = 483384192

Least Common Multiple (LCM) of 87936 and 87952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87936 and 87952. First we will calculate the prime factors of 87936 and 87952.

Prime Factorization of 87936

Prime Factorization of 87952

Now multiplying the highest exponent prime factors to calculate the LCM of 87936 and 87952.

LCM(87936,87952) = 2⁷ × 3¹ × 229¹ × 23¹ × 239¹
LCM(87936,87952) = 483384192