What is the Least Common Multiple of 57060 and 57072?

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 57072 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 57072, than apply into the LCM equation.

GCF(57060,57072) = 12
LCM(57060,57072) = ( 57060 × 57072) / 12
LCM(57060,57072) = 3256528320 / 12
LCM(57060,57072) = 271377360

Least Common Multiple (LCM) of 57060 and 57072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57060 and 57072. First we will calculate the prime factors of 57060 and 57072.

Prime Factorization of 57060

Prime Factorization of 57072

Now multiplying the highest exponent prime factors to calculate the LCM of 57060 and 57072.

LCM(57060,57072) = 2⁴ × 3² × 5¹ × 317¹ × 29¹ × 41¹
LCM(57060,57072) = 271377360