GCF and LCM Calculator Logo

What is the Least Common Multiple of 26882 and 26899?

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 26882 and 26899 is 723098918.

LCM(26882,26899) = 723098918

LCM Calculator and
and

Least Common Multiple of 26882 and 26899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26882 and 26899, than apply into the LCM equation.

GCF(26882,26899) = 1
LCM(26882,26899) = ( 26882 × 26899) / 1
LCM(26882,26899) = 723098918 / 1
LCM(26882,26899) = 723098918

Least Common Multiple (LCM) of 26882 and 26899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26882 and 26899. First we will calculate the prime factors of 26882 and 26899.

Prime Factorization of 26882

Prime factors of 26882 are 2, 13441. Prime factorization of 26882 in exponential form is:

26882 = 21 × 134411

Prime Factorization of 26899

Prime factors of 26899 are 37, 727. Prime factorization of 26899 in exponential form is:

26899 = 371 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 26882 and 26899.

LCM(26882,26899) = 21 × 134411 × 371 × 7271
LCM(26882,26899) = 723098918