What is the Least Common Multiple of 99204 and 99224?

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 99204 and 99224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99204 and 99224, than apply into the LCM equation.

GCF(99204,99224) = 4
LCM(99204,99224) = ( 99204 × 99224) / 4
LCM(99204,99224) = 9843417696 / 4
LCM(99204,99224) = 2460854424

Least Common Multiple (LCM) of 99204 and 99224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99204 and 99224. First we will calculate the prime factors of 99204 and 99224.

Prime Factorization of 99204

Prime Factorization of 99224

Now multiplying the highest exponent prime factors to calculate the LCM of 99204 and 99224.

LCM(99204,99224) = 2³ × 3¹ × 7¹ × 1181¹ × 79¹ × 157¹
LCM(99204,99224) = 2460854424