What is the Least Common Multiple of 99489 and 99504?

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 99489 and 99504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99489 and 99504, than apply into the LCM equation.

GCF(99489,99504) = 3
LCM(99489,99504) = ( 99489 × 99504) / 3
LCM(99489,99504) = 9899553456 / 3
LCM(99489,99504) = 3299851152

Least Common Multiple (LCM) of 99489 and 99504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99489 and 99504. First we will calculate the prime factors of 99489 and 99504.

Prime Factorization of 99489

Prime Factorization of 99504

Now multiplying the highest exponent prime factors to calculate the LCM of 99489 and 99504.

LCM(99489,99504) = 3² × 13¹ × 2551¹ × 2⁴ × 691¹
LCM(99489,99504) = 3299851152