What is the Least Common Multiple of 79164 and 79176?

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 79164 and 79176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79164 and 79176, than apply into the LCM equation.

GCF(79164,79176) = 12
LCM(79164,79176) = ( 79164 × 79176) / 12
LCM(79164,79176) = 6267888864 / 12
LCM(79164,79176) = 522324072

Least Common Multiple (LCM) of 79164 and 79176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79164 and 79176. First we will calculate the prime factors of 79164 and 79176.

Prime Factorization of 79164

Prime Factorization of 79176

Now multiplying the highest exponent prime factors to calculate the LCM of 79164 and 79176.

LCM(79164,79176) = 2³ × 3³ × 733¹ × 3299¹
LCM(79164,79176) = 522324072