What is the Least Common Multiple of 79200 and 79212?

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 79200 and 79212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79200 and 79212, than apply into the LCM equation.

GCF(79200,79212) = 12
LCM(79200,79212) = ( 79200 × 79212) / 12
LCM(79200,79212) = 6273590400 / 12
LCM(79200,79212) = 522799200

Least Common Multiple (LCM) of 79200 and 79212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79200 and 79212. First we will calculate the prime factors of 79200 and 79212.

Prime Factorization of 79200

Prime Factorization of 79212

Now multiplying the highest exponent prime factors to calculate the LCM of 79200 and 79212.

LCM(79200,79212) = 2⁵ × 3² × 5² × 11¹ × 7¹ × 23¹ × 41¹
LCM(79200,79212) = 522799200