GCF and LCM Calculator Logo

What is the Least Common Multiple of 26794 and 26804?

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 26794 and 26804 is 359093188.

LCM(26794,26804) = 359093188

LCM Calculator and
and

Least Common Multiple of 26794 and 26804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26794 and 26804, than apply into the LCM equation.

GCF(26794,26804) = 2
LCM(26794,26804) = ( 26794 × 26804) / 2
LCM(26794,26804) = 718186376 / 2
LCM(26794,26804) = 359093188

Least Common Multiple (LCM) of 26794 and 26804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26794 and 26804. First we will calculate the prime factors of 26794 and 26804.

Prime Factorization of 26794

Prime factors of 26794 are 2, 13397. Prime factorization of 26794 in exponential form is:

26794 = 21 × 133971

Prime Factorization of 26804

Prime factors of 26804 are 2, 6701. Prime factorization of 26804 in exponential form is:

26804 = 22 × 67011

Now multiplying the highest exponent prime factors to calculate the LCM of 26794 and 26804.

LCM(26794,26804) = 22 × 133971 × 67011
LCM(26794,26804) = 359093188