What is the Least Common Multiple of 79152 and 79157?

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 79152 and 79157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79152 and 79157, than apply into the LCM equation.

GCF(79152,79157) = 1
LCM(79152,79157) = ( 79152 × 79157) / 1
LCM(79152,79157) = 6265434864 / 1
LCM(79152,79157) = 6265434864

Least Common Multiple (LCM) of 79152 and 79157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79152 and 79157. First we will calculate the prime factors of 79152 and 79157.

Prime Factorization of 79152

Prime Factorization of 79157

Now multiplying the highest exponent prime factors to calculate the LCM of 79152 and 79157.

LCM(79152,79157) = 2⁴ × 3¹ × 17¹ × 97¹ × 13¹ × 6089¹
LCM(79152,79157) = 6265434864