What is the Least Common Multiple of 57256 and 57270?

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 57256 and 57270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57256 and 57270, than apply into the LCM equation.

GCF(57256,57270) = 2
LCM(57256,57270) = ( 57256 × 57270) / 2
LCM(57256,57270) = 3279051120 / 2
LCM(57256,57270) = 1639525560

Least Common Multiple (LCM) of 57256 and 57270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57256 and 57270. First we will calculate the prime factors of 57256 and 57270.

Prime Factorization of 57256

Prime Factorization of 57270

Now multiplying the highest exponent prime factors to calculate the LCM of 57256 and 57270.

LCM(57256,57270) = 2³ × 17¹ × 421¹ × 3¹ × 5¹ × 23¹ × 83¹
LCM(57256,57270) = 1639525560