What is the Least Common Multiple of 99108 and 99123?

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 99108 and 99123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99108 and 99123, than apply into the LCM equation.

GCF(99108,99123) = 3
LCM(99108,99123) = ( 99108 × 99123) / 3
LCM(99108,99123) = 9823882284 / 3
LCM(99108,99123) = 3274627428

Least Common Multiple (LCM) of 99108 and 99123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99108 and 99123. First we will calculate the prime factors of 99108 and 99123.

Prime Factorization of 99108

Prime Factorization of 99123

Now multiplying the highest exponent prime factors to calculate the LCM of 99108 and 99123.

LCM(99108,99123) = 2² × 3² × 2753¹ × 19¹ × 37¹ × 47¹
LCM(99108,99123) = 3274627428