What is the Least Common Multiple of 57732 and 57744?

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 57732 and 57744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57732 and 57744, than apply into the LCM equation.

GCF(57732,57744) = 12
LCM(57732,57744) = ( 57732 × 57744) / 12
LCM(57732,57744) = 3333676608 / 12
LCM(57732,57744) = 277806384

Least Common Multiple (LCM) of 57732 and 57744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57732 and 57744. First we will calculate the prime factors of 57732 and 57744.

Prime Factorization of 57732

Prime Factorization of 57744

Now multiplying the highest exponent prime factors to calculate the LCM of 57732 and 57744.

LCM(57732,57744) = 2⁴ × 3² × 17¹ × 283¹ × 401¹
LCM(57732,57744) = 277806384