What is the Least Common Multiple of 24180 and 24200?

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 24180 and 24200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24180 and 24200, than apply into the LCM equation.

GCF(24180,24200) = 20
LCM(24180,24200) = ( 24180 × 24200) / 20
LCM(24180,24200) = 585156000 / 20
LCM(24180,24200) = 29257800

Least Common Multiple (LCM) of 24180 and 24200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24180 and 24200. First we will calculate the prime factors of 24180 and 24200.

Prime Factorization of 24180

Prime Factorization of 24200

Now multiplying the highest exponent prime factors to calculate the LCM of 24180 and 24200.

LCM(24180,24200) = 2³ × 3¹ × 5² × 13¹ × 31¹ × 11²
LCM(24180,24200) = 29257800