GCF and LCM Calculator Logo

What is the Least Common Multiple of 10791 and 10808?

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 10791 and 10808 is 116629128.

LCM(10791,10808) = 116629128

LCM Calculator and
and

Least Common Multiple of 10791 and 10808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10791 and 10808, than apply into the LCM equation.

GCF(10791,10808) = 1
LCM(10791,10808) = ( 10791 × 10808) / 1
LCM(10791,10808) = 116629128 / 1
LCM(10791,10808) = 116629128

Least Common Multiple (LCM) of 10791 and 10808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10791 and 10808. First we will calculate the prime factors of 10791 and 10808.

Prime Factorization of 10791

Prime factors of 10791 are 3, 11, 109. Prime factorization of 10791 in exponential form is:

10791 = 32 × 111 × 1091

Prime Factorization of 10808

Prime factors of 10808 are 2, 7, 193. Prime factorization of 10808 in exponential form is:

10808 = 23 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 10791 and 10808.

LCM(10791,10808) = 32 × 111 × 1091 × 23 × 71 × 1931
LCM(10791,10808) = 116629128