What is the Least Common Multiple of 24150 and 24167?

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 24167 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 24167, than apply into the LCM equation.

GCF(24150,24167) = 1
LCM(24150,24167) = ( 24150 × 24167) / 1
LCM(24150,24167) = 583633050 / 1
LCM(24150,24167) = 583633050

Least Common Multiple (LCM) of 24150 and 24167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24150 and 24167. First we will calculate the prime factors of 24150 and 24167.

Prime Factorization of 24150

Prime Factorization of 24167

Now multiplying the highest exponent prime factors to calculate the LCM of 24150 and 24167.

LCM(24150,24167) = 2¹ × 3¹ × 5² × 7¹ × 23¹ × 11¹ × 13³
LCM(24150,24167) = 583633050