What is the Least Common Multiple of 10796 and 10806?

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 of 10796 and 10806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10796 and 10806, than apply into the LCM equation.

GCF(10796,10806) = 2
LCM(10796,10806) = ( 10796 × 10806) / 2
LCM(10796,10806) = 116661576 / 2
LCM(10796,10806) = 58330788

Least Common Multiple (LCM) of 10796 and 10806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10796 and 10806. First we will calculate the prime factors of 10796 and 10806.

Prime Factorization of 10796

Prime Factorization of 10806

Now multiplying the highest exponent prime factors to calculate the LCM of 10796 and 10806.

LCM(10796,10806) = 2² × 2699¹ × 3¹ × 1801¹
LCM(10796,10806) = 58330788