What is the Least Common Multiple of 57054 and 57060?

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 57054 and 57060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57054 and 57060, than apply into the LCM equation.

GCF(57054,57060) = 6
LCM(57054,57060) = ( 57054 × 57060) / 6
LCM(57054,57060) = 3255501240 / 6
LCM(57054,57060) = 542583540

Least Common Multiple (LCM) of 57054 and 57060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57054 and 57060. First we will calculate the prime factors of 57054 and 57060.

Prime Factorization of 57054

Prime Factorization of 57060

Now multiplying the highest exponent prime factors to calculate the LCM of 57054 and 57060.

LCM(57054,57060) = 2² × 3² × 37¹ × 257¹ × 5¹ × 317¹
LCM(57054,57060) = 542583540