What is the Least Common Multiple of 57120 and 57140?

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 57120 and 57140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57120 and 57140, than apply into the LCM equation.

GCF(57120,57140) = 20
LCM(57120,57140) = ( 57120 × 57140) / 20
LCM(57120,57140) = 3263836800 / 20
LCM(57120,57140) = 163191840

Least Common Multiple (LCM) of 57120 and 57140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57120 and 57140. First we will calculate the prime factors of 57120 and 57140.

Prime Factorization of 57120

Prime Factorization of 57140

Now multiplying the highest exponent prime factors to calculate the LCM of 57120 and 57140.

LCM(57120,57140) = 2⁵ × 3¹ × 5¹ × 7¹ × 17¹ × 2857¹
LCM(57120,57140) = 163191840