GCF and LCM Calculator Logo

What is the Least Common Multiple of 26799 and 26815?

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 26799 and 26815 is 718615185.

LCM(26799,26815) = 718615185

LCM Calculator and
and

Least Common Multiple of 26799 and 26815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26799 and 26815, than apply into the LCM equation.

GCF(26799,26815) = 1
LCM(26799,26815) = ( 26799 × 26815) / 1
LCM(26799,26815) = 718615185 / 1
LCM(26799,26815) = 718615185

Least Common Multiple (LCM) of 26799 and 26815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26799 and 26815. First we will calculate the prime factors of 26799 and 26815.

Prime Factorization of 26799

Prime factors of 26799 are 3, 8933. Prime factorization of 26799 in exponential form is:

26799 = 31 × 89331

Prime Factorization of 26815

Prime factors of 26815 are 5, 31, 173. Prime factorization of 26815 in exponential form is:

26815 = 51 × 311 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 26799 and 26815.

LCM(26799,26815) = 31 × 89331 × 51 × 311 × 1731
LCM(26799,26815) = 718615185