What is the Least Common Multiple of 77904 and 77916?

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 77904 and 77916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77904 and 77916, than apply into the LCM equation.

GCF(77904,77916) = 12
LCM(77904,77916) = ( 77904 × 77916) / 12
LCM(77904,77916) = 6069968064 / 12
LCM(77904,77916) = 505830672

Least Common Multiple (LCM) of 77904 and 77916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77904 and 77916. First we will calculate the prime factors of 77904 and 77916.

Prime Factorization of 77904

Prime Factorization of 77916

Now multiplying the highest exponent prime factors to calculate the LCM of 77904 and 77916.

LCM(77904,77916) = 2⁴ × 3² × 541¹ × 43¹ × 151¹
LCM(77904,77916) = 505830672