What is the Least Common Multiple of 95904 and 95916?

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 95904 and 95916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95904 and 95916, than apply into the LCM equation.

GCF(95904,95916) = 12
LCM(95904,95916) = ( 95904 × 95916) / 12
LCM(95904,95916) = 9198728064 / 12
LCM(95904,95916) = 766560672

Least Common Multiple (LCM) of 95904 and 95916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95904 and 95916. First we will calculate the prime factors of 95904 and 95916.

Prime Factorization of 95904

Prime Factorization of 95916

Now multiplying the highest exponent prime factors to calculate the LCM of 95904 and 95916.

LCM(95904,95916) = 2⁵ × 3⁴ × 37¹ × 7993¹
LCM(95904,95916) = 766560672