What is the Least Common Multiple of 57717 and 57731?

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 57717 and 57731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57717 and 57731, than apply into the LCM equation.

GCF(57717,57731) = 1
LCM(57717,57731) = ( 57717 × 57731) / 1
LCM(57717,57731) = 3332060127 / 1
LCM(57717,57731) = 3332060127

Least Common Multiple (LCM) of 57717 and 57731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57717 and 57731. First we will calculate the prime factors of 57717 and 57731.

Prime Factorization of 57717

Prime Factorization of 57731

Now multiplying the highest exponent prime factors to calculate the LCM of 57717 and 57731.

LCM(57717,57731) = 3² × 11² × 53¹ × 57731¹
LCM(57717,57731) = 3332060127