What is the Least Common Multiple of 6030 and 6045?

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 6030 and 6045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6030 and 6045, than apply into the LCM equation.

GCF(6030,6045) = 15
LCM(6030,6045) = ( 6030 × 6045) / 15
LCM(6030,6045) = 36451350 / 15
LCM(6030,6045) = 2430090

Least Common Multiple (LCM) of 6030 and 6045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6030 and 6045. First we will calculate the prime factors of 6030 and 6045.

Prime Factorization of 6030

Prime Factorization of 6045

Now multiplying the highest exponent prime factors to calculate the LCM of 6030 and 6045.

LCM(6030,6045) = 2¹ × 3² × 5¹ × 67¹ × 13¹ × 31¹
LCM(6030,6045) = 2430090