What is the Least Common Multiple of 79904 and 79916?

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 79904 and 79916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79904 and 79916, than apply into the LCM equation.

GCF(79904,79916) = 4
LCM(79904,79916) = ( 79904 × 79916) / 4
LCM(79904,79916) = 6385608064 / 4
LCM(79904,79916) = 1596402016

Least Common Multiple (LCM) of 79904 and 79916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79904 and 79916. First we will calculate the prime factors of 79904 and 79916.

Prime Factorization of 79904

Prime Factorization of 79916

Now multiplying the highest exponent prime factors to calculate the LCM of 79904 and 79916.

LCM(79904,79916) = 2⁵ × 11¹ × 227¹ × 19979¹
LCM(79904,79916) = 1596402016