What is the Least Common Multiple of 57717 and 57723?

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 57723 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 57723, than apply into the LCM equation.

GCF(57717,57723) = 3
LCM(57717,57723) = ( 57717 × 57723) / 3
LCM(57717,57723) = 3331598391 / 3
LCM(57717,57723) = 1110532797

Least Common Multiple (LCM) of 57717 and 57723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57717 and 57723. First we will calculate the prime factors of 57717 and 57723.

Prime Factorization of 57717

Prime Factorization of 57723

Now multiplying the highest exponent prime factors to calculate the LCM of 57717 and 57723.

LCM(57717,57723) = 3² × 11² × 53¹ × 71¹ × 271¹
LCM(57717,57723) = 1110532797