What is the Least Common Multiple of 57450 and 57461?

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 57450 and 57461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57450 and 57461, than apply into the LCM equation.

GCF(57450,57461) = 1
LCM(57450,57461) = ( 57450 × 57461) / 1
LCM(57450,57461) = 3301134450 / 1
LCM(57450,57461) = 3301134450

Least Common Multiple (LCM) of 57450 and 57461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57450 and 57461. First we will calculate the prime factors of 57450 and 57461.

Prime Factorization of 57450

Prime Factorization of 57461

Now multiplying the highest exponent prime factors to calculate the LCM of 57450 and 57461.

LCM(57450,57461) = 2¹ × 3¹ × 5² × 383¹ × 37¹ × 1553¹
LCM(57450,57461) = 3301134450