What is the Least Common Multiple of 99519 and 99528?

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 99519 and 99528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99519 and 99528, than apply into the LCM equation.

GCF(99519,99528) = 3
LCM(99519,99528) = ( 99519 × 99528) / 3
LCM(99519,99528) = 9904927032 / 3
LCM(99519,99528) = 3301642344

Least Common Multiple (LCM) of 99519 and 99528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99519 and 99528. First we will calculate the prime factors of 99519 and 99528.

Prime Factorization of 99519

Prime Factorization of 99528

Now multiplying the highest exponent prime factors to calculate the LCM of 99519 and 99528.

LCM(99519,99528) = 3¹ × 7² × 677¹ × 2³ × 11¹ × 13¹ × 29¹
LCM(99519,99528) = 3301642344