GCF and LCM Calculator Logo

What is the Least Common Multiple of 26944 and 26961?

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 26944 and 26961 is 726437184.

LCM(26944,26961) = 726437184

LCM Calculator and
and

Least Common Multiple of 26944 and 26961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26944 and 26961, than apply into the LCM equation.

GCF(26944,26961) = 1
LCM(26944,26961) = ( 26944 × 26961) / 1
LCM(26944,26961) = 726437184 / 1
LCM(26944,26961) = 726437184

Least Common Multiple (LCM) of 26944 and 26961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26944 and 26961. First we will calculate the prime factors of 26944 and 26961.

Prime Factorization of 26944

Prime factors of 26944 are 2, 421. Prime factorization of 26944 in exponential form is:

26944 = 26 × 4211

Prime Factorization of 26961

Prime factors of 26961 are 3, 11, 19, 43. Prime factorization of 26961 in exponential form is:

26961 = 31 × 111 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 26944 and 26961.

LCM(26944,26961) = 26 × 4211 × 31 × 111 × 191 × 431
LCM(26944,26961) = 726437184