What is the Least Common Multiple of 57360 and 57370?

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 57360 and 57370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57360 and 57370, than apply into the LCM equation.

GCF(57360,57370) = 10
LCM(57360,57370) = ( 57360 × 57370) / 10
LCM(57360,57370) = 3290743200 / 10
LCM(57360,57370) = 329074320

Least Common Multiple (LCM) of 57360 and 57370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57360 and 57370. First we will calculate the prime factors of 57360 and 57370.

Prime Factorization of 57360

Prime Factorization of 57370

Now multiplying the highest exponent prime factors to calculate the LCM of 57360 and 57370.

LCM(57360,57370) = 2⁴ × 3¹ × 5¹ × 239¹ × 5737¹
LCM(57360,57370) = 329074320