What is the Least Common Multiple of 57180 and 57200?

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 57180 and 57200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57180 and 57200, than apply into the LCM equation.

GCF(57180,57200) = 20
LCM(57180,57200) = ( 57180 × 57200) / 20
LCM(57180,57200) = 3270696000 / 20
LCM(57180,57200) = 163534800

Least Common Multiple (LCM) of 57180 and 57200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57180 and 57200. First we will calculate the prime factors of 57180 and 57200.

Prime Factorization of 57180

Prime Factorization of 57200

Now multiplying the highest exponent prime factors to calculate the LCM of 57180 and 57200.

LCM(57180,57200) = 2⁴ × 3¹ × 5² × 953¹ × 11¹ × 13¹
LCM(57180,57200) = 163534800