What is the Least Common Multiple of 6075 and 6090?

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 6090 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 6090, than apply into the LCM equation.

GCF(6075,6090) = 15
LCM(6075,6090) = ( 6075 × 6090) / 15
LCM(6075,6090) = 36996750 / 15
LCM(6075,6090) = 2466450

Least Common Multiple (LCM) of 6075 and 6090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6075 and 6090. First we will calculate the prime factors of 6075 and 6090.

Prime Factorization of 6075

Prime Factorization of 6090

Now multiplying the highest exponent prime factors to calculate the LCM of 6075 and 6090.

LCM(6075,6090) = 3⁵ × 5² × 2¹ × 7¹ × 29¹
LCM(6075,6090) = 2466450