What is the Least Common Multiple of 57450 and 57466?

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 57466 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 57466, than apply into the LCM equation.

GCF(57450,57466) = 2
LCM(57450,57466) = ( 57450 × 57466) / 2
LCM(57450,57466) = 3301421700 / 2
LCM(57450,57466) = 1650710850

Least Common Multiple (LCM) of 57450 and 57466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57450 and 57466. First we will calculate the prime factors of 57450 and 57466.

Prime Factorization of 57450

Prime Factorization of 57466

Now multiplying the highest exponent prime factors to calculate the LCM of 57450 and 57466.

LCM(57450,57466) = 2¹ × 3¹ × 5² × 383¹ × 59¹ × 487¹
LCM(57450,57466) = 1650710850