GCF and LCM Calculator Logo

What is the Least Common Multiple of 65818 and 65834?

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 65818 and 65834 is 2166531106.

LCM(65818,65834) = 2166531106

LCM Calculator and
and

Least Common Multiple of 65818 and 65834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65818 and 65834, than apply into the LCM equation.

GCF(65818,65834) = 2
LCM(65818,65834) = ( 65818 × 65834) / 2
LCM(65818,65834) = 4333062212 / 2
LCM(65818,65834) = 2166531106

Least Common Multiple (LCM) of 65818 and 65834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65818 and 65834. First we will calculate the prime factors of 65818 and 65834.

Prime Factorization of 65818

Prime factors of 65818 are 2, 32909. Prime factorization of 65818 in exponential form is:

65818 = 21 × 329091

Prime Factorization of 65834

Prime factors of 65834 are 2, 32917. Prime factorization of 65834 in exponential form is:

65834 = 21 × 329171

Now multiplying the highest exponent prime factors to calculate the LCM of 65818 and 65834.

LCM(65818,65834) = 21 × 329091 × 329171
LCM(65818,65834) = 2166531106