What is the Least Common Multiple of 79056 and 79074?

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 79056 and 79074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79056 and 79074, than apply into the LCM equation.

GCF(79056,79074) = 18
LCM(79056,79074) = ( 79056 × 79074) / 18
LCM(79056,79074) = 6251274144 / 18
LCM(79056,79074) = 347293008

Least Common Multiple (LCM) of 79056 and 79074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79056 and 79074. First we will calculate the prime factors of 79056 and 79074.

Prime Factorization of 79056

Prime Factorization of 79074

Now multiplying the highest exponent prime factors to calculate the LCM of 79056 and 79074.

LCM(79056,79074) = 2⁴ × 3⁴ × 61¹ × 23¹ × 191¹
LCM(79056,79074) = 347293008