What is the Least Common Multiple of 24060 and 24075?

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 24060 and 24075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24060 and 24075, than apply into the LCM equation.

GCF(24060,24075) = 15
LCM(24060,24075) = ( 24060 × 24075) / 15
LCM(24060,24075) = 579244500 / 15
LCM(24060,24075) = 38616300

Least Common Multiple (LCM) of 24060 and 24075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24060 and 24075. First we will calculate the prime factors of 24060 and 24075.

Prime Factorization of 24060

Prime Factorization of 24075

Now multiplying the highest exponent prime factors to calculate the LCM of 24060 and 24075.

LCM(24060,24075) = 2² × 3² × 5² × 401¹ × 107¹
LCM(24060,24075) = 38616300