What is the Least Common Multiple of 99168 and 99180?

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 99168 and 99180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99168 and 99180, than apply into the LCM equation.

GCF(99168,99180) = 12
LCM(99168,99180) = ( 99168 × 99180) / 12
LCM(99168,99180) = 9835482240 / 12
LCM(99168,99180) = 819623520

Least Common Multiple (LCM) of 99168 and 99180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99168 and 99180. First we will calculate the prime factors of 99168 and 99180.

Prime Factorization of 99168

Prime Factorization of 99180

Now multiplying the highest exponent prime factors to calculate the LCM of 99168 and 99180.

LCM(99168,99180) = 2⁵ × 3² × 1033¹ × 5¹ × 19¹ × 29¹
LCM(99168,99180) = 819623520