What is the Least Common Multiple of 79734 and 79746?

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 79734 and 79746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79734 and 79746, than apply into the LCM equation.

GCF(79734,79746) = 6
LCM(79734,79746) = ( 79734 × 79746) / 6
LCM(79734,79746) = 6358467564 / 6
LCM(79734,79746) = 1059744594

Least Common Multiple (LCM) of 79734 and 79746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79734 and 79746. First we will calculate the prime factors of 79734 and 79746.

Prime Factorization of 79734

Prime Factorization of 79746

Now multiplying the highest exponent prime factors to calculate the LCM of 79734 and 79746.

LCM(79734,79746) = 2¹ × 3¹ × 97¹ × 137¹ × 13291¹
LCM(79734,79746) = 1059744594