What is the Least Common Multiple of 57712 and 57732?

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 57712 and 57732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57712 and 57732, than apply into the LCM equation.

GCF(57712,57732) = 4
LCM(57712,57732) = ( 57712 × 57732) / 4
LCM(57712,57732) = 3331829184 / 4
LCM(57712,57732) = 832957296

Least Common Multiple (LCM) of 57712 and 57732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57712 and 57732. First we will calculate the prime factors of 57712 and 57732.

Prime Factorization of 57712

Prime Factorization of 57732

Now multiplying the highest exponent prime factors to calculate the LCM of 57712 and 57732.

LCM(57712,57732) = 2⁴ × 3607¹ × 3¹ × 17¹ × 283¹
LCM(57712,57732) = 832957296