What is the Least Common Multiple of 79744 and 79764?

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 79744 and 79764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79744 and 79764, than apply into the LCM equation.

GCF(79744,79764) = 4
LCM(79744,79764) = ( 79744 × 79764) / 4
LCM(79744,79764) = 6360700416 / 4
LCM(79744,79764) = 1590175104

Least Common Multiple (LCM) of 79744 and 79764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79744 and 79764. First we will calculate the prime factors of 79744 and 79764.

Prime Factorization of 79744

Prime Factorization of 79764

Now multiplying the highest exponent prime factors to calculate the LCM of 79744 and 79764.

LCM(79744,79764) = 2⁷ × 7¹ × 89¹ × 3¹ × 17² × 23¹
LCM(79744,79764) = 1590175104