What is the Least Common Multiple of 51714 and 51723?

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 51714 and 51723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51714 and 51723, than apply into the LCM equation.

GCF(51714,51723) = 9
LCM(51714,51723) = ( 51714 × 51723) / 9
LCM(51714,51723) = 2674803222 / 9
LCM(51714,51723) = 297200358

Least Common Multiple (LCM) of 51714 and 51723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51714 and 51723. First we will calculate the prime factors of 51714 and 51723.

Prime Factorization of 51714

Prime Factorization of 51723

Now multiplying the highest exponent prime factors to calculate the LCM of 51714 and 51723.

LCM(51714,51723) = 2¹ × 3² × 13² × 17¹ × 7¹ × 821¹
LCM(51714,51723) = 297200358