GCF and LCM Calculator Logo

What is the Least Common Multiple of 26928 and 26939?

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 26928 and 26939 is 65946672.

LCM(26928,26939) = 65946672

LCM Calculator and
and

Least Common Multiple of 26928 and 26939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26928 and 26939, than apply into the LCM equation.

GCF(26928,26939) = 11
LCM(26928,26939) = ( 26928 × 26939) / 11
LCM(26928,26939) = 725413392 / 11
LCM(26928,26939) = 65946672

Least Common Multiple (LCM) of 26928 and 26939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26928 and 26939. First we will calculate the prime factors of 26928 and 26939.

Prime Factorization of 26928

Prime factors of 26928 are 2, 3, 11, 17. Prime factorization of 26928 in exponential form is:

26928 = 24 × 32 × 111 × 171

Prime Factorization of 26939

Prime factors of 26939 are 11, 31, 79. Prime factorization of 26939 in exponential form is:

26939 = 111 × 311 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 26928 and 26939.

LCM(26928,26939) = 24 × 32 × 111 × 171 × 311 × 791
LCM(26928,26939) = 65946672