What is the Least Common Multiple of 57450 and 57456?

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 57456 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 57456, than apply into the LCM equation.

GCF(57450,57456) = 6
LCM(57450,57456) = ( 57450 × 57456) / 6
LCM(57450,57456) = 3300847200 / 6
LCM(57450,57456) = 550141200

Least Common Multiple (LCM) of 57450 and 57456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57450 and 57456. First we will calculate the prime factors of 57450 and 57456.

Prime Factorization of 57450

Prime Factorization of 57456

Now multiplying the highest exponent prime factors to calculate the LCM of 57450 and 57456.

LCM(57450,57456) = 2⁴ × 3³ × 5² × 383¹ × 7¹ × 19¹
LCM(57450,57456) = 550141200