What is the Least Common Multiple of 3060 and 3075?

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 3060 and 3075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3060 and 3075, than apply into the LCM equation.

GCF(3060,3075) = 15
LCM(3060,3075) = ( 3060 × 3075) / 15
LCM(3060,3075) = 9409500 / 15
LCM(3060,3075) = 627300

Least Common Multiple (LCM) of 3060 and 3075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3060 and 3075. First we will calculate the prime factors of 3060 and 3075.

Prime Factorization of 3060

Prime Factorization of 3075

Now multiplying the highest exponent prime factors to calculate the LCM of 3060 and 3075.

LCM(3060,3075) = 2² × 3² × 5² × 17¹ × 41¹
LCM(3060,3075) = 627300