What is the Least Common Multiple of 24165 and 24180?

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 24165 and 24180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24165 and 24180, than apply into the LCM equation.

GCF(24165,24180) = 15
LCM(24165,24180) = ( 24165 × 24180) / 15
LCM(24165,24180) = 584309700 / 15
LCM(24165,24180) = 38953980

Least Common Multiple (LCM) of 24165 and 24180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24165 and 24180. First we will calculate the prime factors of 24165 and 24180.

Prime Factorization of 24165

Prime Factorization of 24180

Now multiplying the highest exponent prime factors to calculate the LCM of 24165 and 24180.

LCM(24165,24180) = 3³ × 5¹ × 179¹ × 2² × 13¹ × 31¹
LCM(24165,24180) = 38953980