GCF and LCM Calculator Logo

What is the Least Common Multiple of 65713 and 65718?

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 65713 and 65718 is 4318526934.

LCM(65713,65718) = 4318526934

LCM Calculator and
and

Least Common Multiple of 65713 and 65718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65713 and 65718, than apply into the LCM equation.

GCF(65713,65718) = 1
LCM(65713,65718) = ( 65713 × 65718) / 1
LCM(65713,65718) = 4318526934 / 1
LCM(65713,65718) = 4318526934

Least Common Multiple (LCM) of 65713 and 65718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65713 and 65718. First we will calculate the prime factors of 65713 and 65718.

Prime Factorization of 65713

Prime factors of 65713 are 65713. Prime factorization of 65713 in exponential form is:

65713 = 657131

Prime Factorization of 65718

Prime factors of 65718 are 2, 3, 1217. Prime factorization of 65718 in exponential form is:

65718 = 21 × 33 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 65713 and 65718.

LCM(65713,65718) = 657131 × 21 × 33 × 12171
LCM(65713,65718) = 4318526934