What is the Least Common Multiple of 57506 and 57512?

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 57506 and 57512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57506 and 57512, than apply into the LCM equation.

GCF(57506,57512) = 2
LCM(57506,57512) = ( 57506 × 57512) / 2
LCM(57506,57512) = 3307285072 / 2
LCM(57506,57512) = 1653642536

Least Common Multiple (LCM) of 57506 and 57512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57506 and 57512. First we will calculate the prime factors of 57506 and 57512.

Prime Factorization of 57506

Prime Factorization of 57512

Now multiplying the highest exponent prime factors to calculate the LCM of 57506 and 57512.

LCM(57506,57512) = 2³ × 28753¹ × 7¹ × 13¹ × 79¹
LCM(57506,57512) = 1653642536