What is the Least Common Multiple of 6075 and 6082?

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 6075 and 6082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6075 and 6082, than apply into the LCM equation.

GCF(6075,6082) = 1
LCM(6075,6082) = ( 6075 × 6082) / 1
LCM(6075,6082) = 36948150 / 1
LCM(6075,6082) = 36948150

Least Common Multiple (LCM) of 6075 and 6082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6075 and 6082. First we will calculate the prime factors of 6075 and 6082.

Prime Factorization of 6075

Prime Factorization of 6082

Now multiplying the highest exponent prime factors to calculate the LCM of 6075 and 6082.

LCM(6075,6082) = 3⁵ × 5² × 2¹ × 3041¹
LCM(6075,6082) = 36948150