What is the Least Common Multiple of 24150 and 24168?

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 24150 and 24168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24150 and 24168, than apply into the LCM equation.

GCF(24150,24168) = 6
LCM(24150,24168) = ( 24150 × 24168) / 6
LCM(24150,24168) = 583657200 / 6
LCM(24150,24168) = 97276200

Least Common Multiple (LCM) of 24150 and 24168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24150 and 24168. First we will calculate the prime factors of 24150 and 24168.

Prime Factorization of 24150

Prime Factorization of 24168

Now multiplying the highest exponent prime factors to calculate the LCM of 24150 and 24168.

LCM(24150,24168) = 2³ × 3¹ × 5² × 7¹ × 23¹ × 19¹ × 53¹
LCM(24150,24168) = 97276200