What is the Least Common Multiple of 86904 and 86916?

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 86904 and 86916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86904 and 86916, than apply into the LCM equation.

GCF(86904,86916) = 12
LCM(86904,86916) = ( 86904 × 86916) / 12
LCM(86904,86916) = 7553348064 / 12
LCM(86904,86916) = 629445672

Least Common Multiple (LCM) of 86904 and 86916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86904 and 86916. First we will calculate the prime factors of 86904 and 86916.

Prime Factorization of 86904

Prime Factorization of 86916

Now multiplying the highest exponent prime factors to calculate the LCM of 86904 and 86916.

LCM(86904,86916) = 2³ × 3² × 17¹ × 71¹ × 7243¹
LCM(86904,86916) = 629445672