What is the Least Common Multiple of 3030 and 3045?

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 3030 and 3045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3030 and 3045, than apply into the LCM equation.

GCF(3030,3045) = 15
LCM(3030,3045) = ( 3030 × 3045) / 15
LCM(3030,3045) = 9226350 / 15
LCM(3030,3045) = 615090

Least Common Multiple (LCM) of 3030 and 3045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3030 and 3045. First we will calculate the prime factors of 3030 and 3045.

Prime Factorization of 3030

Prime Factorization of 3045

Now multiplying the highest exponent prime factors to calculate the LCM of 3030 and 3045.

LCM(3030,3045) = 2¹ × 3¹ × 5¹ × 101¹ × 7¹ × 29¹
LCM(3030,3045) = 615090