What is the Least Common Multiple of 57024 and 57040?

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 57024 and 57040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57024 and 57040, than apply into the LCM equation.

GCF(57024,57040) = 16
LCM(57024,57040) = ( 57024 × 57040) / 16
LCM(57024,57040) = 3252648960 / 16
LCM(57024,57040) = 203290560

Least Common Multiple (LCM) of 57024 and 57040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57024 and 57040. First we will calculate the prime factors of 57024 and 57040.

Prime Factorization of 57024

Prime Factorization of 57040

Now multiplying the highest exponent prime factors to calculate the LCM of 57024 and 57040.

LCM(57024,57040) = 2⁶ × 3⁴ × 11¹ × 5¹ × 23¹ × 31¹
LCM(57024,57040) = 203290560