GCF and LCM Calculator Logo

What is the Least Common Multiple of 65794 and 65810?

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 65794 and 65810 is 2164951570.

LCM(65794,65810) = 2164951570

LCM Calculator and
and

Least Common Multiple of 65794 and 65810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65794 and 65810, than apply into the LCM equation.

GCF(65794,65810) = 2
LCM(65794,65810) = ( 65794 × 65810) / 2
LCM(65794,65810) = 4329903140 / 2
LCM(65794,65810) = 2164951570

Least Common Multiple (LCM) of 65794 and 65810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65794 and 65810. First we will calculate the prime factors of 65794 and 65810.

Prime Factorization of 65794

Prime factors of 65794 are 2, 67, 491. Prime factorization of 65794 in exponential form is:

65794 = 21 × 671 × 4911

Prime Factorization of 65810

Prime factors of 65810 are 2, 5, 6581. Prime factorization of 65810 in exponential form is:

65810 = 21 × 51 × 65811

Now multiplying the highest exponent prime factors to calculate the LCM of 65794 and 65810.

LCM(65794,65810) = 21 × 671 × 4911 × 51 × 65811
LCM(65794,65810) = 2164951570