GCF and LCM Calculator Logo

What is the Least Common Multiple of 26897 and 26910?

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 26897 and 26910 is 55676790.

LCM(26897,26910) = 55676790

LCM Calculator and
and

Least Common Multiple of 26897 and 26910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26897 and 26910, than apply into the LCM equation.

GCF(26897,26910) = 13
LCM(26897,26910) = ( 26897 × 26910) / 13
LCM(26897,26910) = 723798270 / 13
LCM(26897,26910) = 55676790

Least Common Multiple (LCM) of 26897 and 26910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26897 and 26910. First we will calculate the prime factors of 26897 and 26910.

Prime Factorization of 26897

Prime factors of 26897 are 13, 2069. Prime factorization of 26897 in exponential form is:

26897 = 131 × 20691

Prime Factorization of 26910

Prime factors of 26910 are 2, 3, 5, 13, 23. Prime factorization of 26910 in exponential form is:

26910 = 21 × 32 × 51 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 26897 and 26910.

LCM(26897,26910) = 131 × 20691 × 21 × 32 × 51 × 231
LCM(26897,26910) = 55676790