GCF and LCM Calculator Logo

What is the Least Common Multiple of 26942 and 26946?

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 26942 and 26946 is 362989566.

LCM(26942,26946) = 362989566

LCM Calculator and
and

Least Common Multiple of 26942 and 26946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26942 and 26946, than apply into the LCM equation.

GCF(26942,26946) = 2
LCM(26942,26946) = ( 26942 × 26946) / 2
LCM(26942,26946) = 725979132 / 2
LCM(26942,26946) = 362989566

Least Common Multiple (LCM) of 26942 and 26946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26942 and 26946. First we will calculate the prime factors of 26942 and 26946.

Prime Factorization of 26942

Prime factors of 26942 are 2, 19, 709. Prime factorization of 26942 in exponential form is:

26942 = 21 × 191 × 7091

Prime Factorization of 26946

Prime factors of 26946 are 2, 3, 499. Prime factorization of 26946 in exponential form is:

26946 = 21 × 33 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 26942 and 26946.

LCM(26942,26946) = 21 × 191 × 7091 × 33 × 4991
LCM(26942,26946) = 362989566