What is the Least Common Multiple of 24045 and 24060?

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 24045 and 24060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24045 and 24060, than apply into the LCM equation.

GCF(24045,24060) = 15
LCM(24045,24060) = ( 24045 × 24060) / 15
LCM(24045,24060) = 578522700 / 15
LCM(24045,24060) = 38568180

Least Common Multiple (LCM) of 24045 and 24060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24045 and 24060. First we will calculate the prime factors of 24045 and 24060.

Prime Factorization of 24045

Prime Factorization of 24060

Now multiplying the highest exponent prime factors to calculate the LCM of 24045 and 24060.

LCM(24045,24060) = 3¹ × 5¹ × 7¹ × 229¹ × 2² × 401¹
LCM(24045,24060) = 38568180