What is the Least Common Multiple of 3045 and 3060?

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 3045 and 3060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3045 and 3060, than apply into the LCM equation.

GCF(3045,3060) = 15
LCM(3045,3060) = ( 3045 × 3060) / 15
LCM(3045,3060) = 9317700 / 15
LCM(3045,3060) = 621180

Least Common Multiple (LCM) of 3045 and 3060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3045 and 3060. First we will calculate the prime factors of 3045 and 3060.

Prime Factorization of 3045

Prime Factorization of 3060

Now multiplying the highest exponent prime factors to calculate the LCM of 3045 and 3060.

LCM(3045,3060) = 3² × 5¹ × 7¹ × 29¹ × 2² × 17¹
LCM(3045,3060) = 621180