What is the Least Common Multiple of 57732 and 57750?

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 57750 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 57750, than apply into the LCM equation.

GCF(57732,57750) = 6
LCM(57732,57750) = ( 57732 × 57750) / 6
LCM(57732,57750) = 3334023000 / 6
LCM(57732,57750) = 555670500

Least Common Multiple (LCM) of 57732 and 57750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57732 and 57750. First we will calculate the prime factors of 57732 and 57750.

Prime Factorization of 57732

Prime Factorization of 57750

Now multiplying the highest exponent prime factors to calculate the LCM of 57732 and 57750.

LCM(57732,57750) = 2² × 3¹ × 17¹ × 283¹ × 5³ × 7¹ × 11¹
LCM(57732,57750) = 555670500