What is the Least Common Multiple of 6048 and 6057?

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 6048 and 6057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6048 and 6057, than apply into the LCM equation.

GCF(6048,6057) = 9
LCM(6048,6057) = ( 6048 × 6057) / 9
LCM(6048,6057) = 36632736 / 9
LCM(6048,6057) = 4070304

Least Common Multiple (LCM) of 6048 and 6057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6048 and 6057. First we will calculate the prime factors of 6048 and 6057.

Prime Factorization of 6048

Prime Factorization of 6057

Now multiplying the highest exponent prime factors to calculate the LCM of 6048 and 6057.

LCM(6048,6057) = 2⁵ × 3³ × 7¹ × 673¹
LCM(6048,6057) = 4070304