What is the Least Common Multiple of 57060 and 57070?

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 57070 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 57070, than apply into the LCM equation.

GCF(57060,57070) = 10
LCM(57060,57070) = ( 57060 × 57070) / 10
LCM(57060,57070) = 3256414200 / 10
LCM(57060,57070) = 325641420

Least Common Multiple (LCM) of 57060 and 57070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57060 and 57070. First we will calculate the prime factors of 57060 and 57070.

Prime Factorization of 57060

Prime Factorization of 57070

Now multiplying the highest exponent prime factors to calculate the LCM of 57060 and 57070.

LCM(57060,57070) = 2² × 3² × 5¹ × 317¹ × 13¹ × 439¹
LCM(57060,57070) = 325641420