What is the Least Common Multiple of 87924 and 87936?

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 87924 and 87936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87924 and 87936, than apply into the LCM equation.

GCF(87924,87936) = 12
LCM(87924,87936) = ( 87924 × 87936) / 12
LCM(87924,87936) = 7731684864 / 12
LCM(87924,87936) = 644307072

Least Common Multiple (LCM) of 87924 and 87936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87924 and 87936. First we will calculate the prime factors of 87924 and 87936.

Prime Factorization of 87924

Prime Factorization of 87936

Now multiplying the highest exponent prime factors to calculate the LCM of 87924 and 87936.

LCM(87924,87936) = 2⁷ × 3¹ × 17¹ × 431¹ × 229¹
LCM(87924,87936) = 644307072