What is the Least Common Multiple of 99744 and 99764?

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 99744 and 99764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99744 and 99764, than apply into the LCM equation.

GCF(99744,99764) = 4
LCM(99744,99764) = ( 99744 × 99764) / 4
LCM(99744,99764) = 9950860416 / 4
LCM(99744,99764) = 2487715104

Least Common Multiple (LCM) of 99744 and 99764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99744 and 99764. First we will calculate the prime factors of 99744 and 99764.

Prime Factorization of 99744

Prime Factorization of 99764

Now multiplying the highest exponent prime factors to calculate the LCM of 99744 and 99764.

LCM(99744,99764) = 2⁵ × 3¹ × 1039¹ × 7² × 509¹
LCM(99744,99764) = 2487715104