What is the Least Common Multiple of 79152 and 79164?

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 79164 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 79164, than apply into the LCM equation.

GCF(79152,79164) = 12
LCM(79152,79164) = ( 79152 × 79164) / 12
LCM(79152,79164) = 6265988928 / 12
LCM(79152,79164) = 522165744

Least Common Multiple (LCM) of 79152 and 79164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79152 and 79164. First we will calculate the prime factors of 79152 and 79164.

Prime Factorization of 79152

Prime Factorization of 79164

Now multiplying the highest exponent prime factors to calculate the LCM of 79152 and 79164.

LCM(79152,79164) = 2⁴ × 3³ × 17¹ × 97¹ × 733¹
LCM(79152,79164) = 522165744