GCF and LCM Calculator Logo

What is the Least Common Multiple of 5714 and 5723?

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 (LCM) of 5714 and 5723 is 32701222.

LCM(5714,5723) = 32701222

LCM Calculator and
and

Least Common Multiple of 5714 and 5723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5714 and 5723, than apply into the LCM equation.

GCF(5714,5723) = 1
LCM(5714,5723) = ( 5714 × 5723) / 1
LCM(5714,5723) = 32701222 / 1
LCM(5714,5723) = 32701222

Least Common Multiple (LCM) of 5714 and 5723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5714 and 5723. First we will calculate the prime factors of 5714 and 5723.

Prime Factorization of 5714

Prime factors of 5714 are 2, 2857. Prime factorization of 5714 in exponential form is:

5714 = 21 × 28571

Prime Factorization of 5723

Prime factors of 5723 are 59, 97. Prime factorization of 5723 in exponential form is:

5723 = 591 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 5714 and 5723.

LCM(5714,5723) = 21 × 28571 × 591 × 971
LCM(5714,5723) = 32701222