What is the Least Common Multiple of 92904 and 92916?

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 92904 and 92916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92904 and 92916, than apply into the LCM equation.

GCF(92904,92916) = 12
LCM(92904,92916) = ( 92904 × 92916) / 12
LCM(92904,92916) = 8632268064 / 12
LCM(92904,92916) = 719355672

Least Common Multiple (LCM) of 92904 and 92916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92904 and 92916. First we will calculate the prime factors of 92904 and 92916.

Prime Factorization of 92904

Prime Factorization of 92916

Now multiplying the highest exponent prime factors to calculate the LCM of 92904 and 92916.

LCM(92904,92916) = 2³ × 3² × 7² × 79¹ × 29¹ × 89¹
LCM(92904,92916) = 719355672