GCF and LCM Calculator Logo

What is the Least Common Multiple of 26600 and 26611?

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 26600 and 26611 is 707852600.

LCM(26600,26611) = 707852600

LCM Calculator and
and

Least Common Multiple of 26600 and 26611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26600 and 26611, than apply into the LCM equation.

GCF(26600,26611) = 1
LCM(26600,26611) = ( 26600 × 26611) / 1
LCM(26600,26611) = 707852600 / 1
LCM(26600,26611) = 707852600

Least Common Multiple (LCM) of 26600 and 26611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26600 and 26611. First we will calculate the prime factors of 26600 and 26611.

Prime Factorization of 26600

Prime factors of 26600 are 2, 5, 7, 19. Prime factorization of 26600 in exponential form is:

26600 = 23 × 52 × 71 × 191

Prime Factorization of 26611

Prime factors of 26611 are 13, 23, 89. Prime factorization of 26611 in exponential form is:

26611 = 131 × 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 26600 and 26611.

LCM(26600,26611) = 23 × 52 × 71 × 191 × 131 × 231 × 891
LCM(26600,26611) = 707852600