GCF and LCM Calculator Logo

What is the Least Common Multiple of 26682 and 26699?

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 26682 and 26699 is 712382718.

LCM(26682,26699) = 712382718

LCM Calculator and
and

Least Common Multiple of 26682 and 26699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26682 and 26699, than apply into the LCM equation.

GCF(26682,26699) = 1
LCM(26682,26699) = ( 26682 × 26699) / 1
LCM(26682,26699) = 712382718 / 1
LCM(26682,26699) = 712382718

Least Common Multiple (LCM) of 26682 and 26699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26682 and 26699. First we will calculate the prime factors of 26682 and 26699.

Prime Factorization of 26682

Prime factors of 26682 are 2, 3, 4447. Prime factorization of 26682 in exponential form is:

26682 = 21 × 31 × 44471

Prime Factorization of 26699

Prime factors of 26699 are 26699. Prime factorization of 26699 in exponential form is:

26699 = 266991

Now multiplying the highest exponent prime factors to calculate the LCM of 26682 and 26699.

LCM(26682,26699) = 21 × 31 × 44471 × 266991
LCM(26682,26699) = 712382718