What is the Least Common Multiple of 57060 and 57075?

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 57060 and 57075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57060 and 57075, than apply into the LCM equation.

GCF(57060,57075) = 15
LCM(57060,57075) = ( 57060 × 57075) / 15
LCM(57060,57075) = 3256699500 / 15
LCM(57060,57075) = 217113300

Least Common Multiple (LCM) of 57060 and 57075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57060 and 57075. First we will calculate the prime factors of 57060 and 57075.

Prime Factorization of 57060

Prime Factorization of 57075

Now multiplying the highest exponent prime factors to calculate the LCM of 57060 and 57075.

LCM(57060,57075) = 2² × 3² × 5² × 317¹ × 761¹
LCM(57060,57075) = 217113300