What is the Least Common Multiple of 57054 and 57061?

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 57061 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 57061, than apply into the LCM equation.

GCF(57054,57061) = 1
LCM(57054,57061) = ( 57054 × 57061) / 1
LCM(57054,57061) = 3255558294 / 1
LCM(57054,57061) = 3255558294

Least Common Multiple (LCM) of 57054 and 57061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57054 and 57061. First we will calculate the prime factors of 57054 and 57061.

Prime Factorization of 57054

Prime Factorization of 57061

Now multiplying the highest exponent prime factors to calculate the LCM of 57054 and 57061.

LCM(57054,57061) = 2¹ × 3¹ × 37¹ × 257¹ × 43¹ × 1327¹
LCM(57054,57061) = 3255558294