GCF and LCM Calculator Logo

What is the Least Common Multiple of 10794 and 10807?

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 10794 and 10807 is 116650758.

LCM(10794,10807) = 116650758

LCM Calculator and
and

Least Common Multiple of 10794 and 10807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10794 and 10807, than apply into the LCM equation.

GCF(10794,10807) = 1
LCM(10794,10807) = ( 10794 × 10807) / 1
LCM(10794,10807) = 116650758 / 1
LCM(10794,10807) = 116650758

Least Common Multiple (LCM) of 10794 and 10807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10794 and 10807. First we will calculate the prime factors of 10794 and 10807.

Prime Factorization of 10794

Prime factors of 10794 are 2, 3, 7, 257. Prime factorization of 10794 in exponential form is:

10794 = 21 × 31 × 71 × 2571

Prime Factorization of 10807

Prime factors of 10807 are 101, 107. Prime factorization of 10807 in exponential form is:

10807 = 1011 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 10794 and 10807.

LCM(10794,10807) = 21 × 31 × 71 × 2571 × 1011 × 1071
LCM(10794,10807) = 116650758