What is the Least Common Multiple of 87896 and 87908?

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 87896 and 87908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87896 and 87908, than apply into the LCM equation.

GCF(87896,87908) = 4
LCM(87896,87908) = ( 87896 × 87908) / 4
LCM(87896,87908) = 7726761568 / 4
LCM(87896,87908) = 1931690392

Least Common Multiple (LCM) of 87896 and 87908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87896 and 87908. First we will calculate the prime factors of 87896 and 87908.

Prime Factorization of 87896

Prime Factorization of 87908

Now multiplying the highest exponent prime factors to calculate the LCM of 87896 and 87908.

LCM(87896,87908) = 2³ × 10987¹ × 21977¹
LCM(87896,87908) = 1931690392