What is the Least Common Multiple of 79734 and 79752?

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 79752 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 79752, than apply into the LCM equation.

GCF(79734,79752) = 6
LCM(79734,79752) = ( 79734 × 79752) / 6
LCM(79734,79752) = 6358945968 / 6
LCM(79734,79752) = 1059824328

Least Common Multiple (LCM) of 79734 and 79752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79734 and 79752. First we will calculate the prime factors of 79734 and 79752.

Prime Factorization of 79734

Prime Factorization of 79752

Now multiplying the highest exponent prime factors to calculate the LCM of 79734 and 79752.

LCM(79734,79752) = 2³ × 3¹ × 97¹ × 137¹ × 3323¹
LCM(79734,79752) = 1059824328