GCF and LCM Calculator Logo

What is the Least Common Multiple of 65718 and 65735?

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 65718 and 65735 is 4319972730.

LCM(65718,65735) = 4319972730

LCM Calculator and
and

Least Common Multiple of 65718 and 65735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65718 and 65735, than apply into the LCM equation.

GCF(65718,65735) = 1
LCM(65718,65735) = ( 65718 × 65735) / 1
LCM(65718,65735) = 4319972730 / 1
LCM(65718,65735) = 4319972730

Least Common Multiple (LCM) of 65718 and 65735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65718 and 65735. First we will calculate the prime factors of 65718 and 65735.

Prime Factorization of 65718

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

65718 = 21 × 33 × 12171

Prime Factorization of 65735

Prime factors of 65735 are 5, 13147. Prime factorization of 65735 in exponential form is:

65735 = 51 × 131471

Now multiplying the highest exponent prime factors to calculate the LCM of 65718 and 65735.

LCM(65718,65735) = 21 × 33 × 12171 × 51 × 131471
LCM(65718,65735) = 4319972730