What is the Least Common Multiple of 10809 and 10823?

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 10809 and 10823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10809 and 10823, than apply into the LCM equation.

GCF(10809,10823) = 1
LCM(10809,10823) = ( 10809 × 10823) / 1
LCM(10809,10823) = 116985807 / 1
LCM(10809,10823) = 116985807

Least Common Multiple (LCM) of 10809 and 10823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10809 and 10823. First we will calculate the prime factors of 10809 and 10823.

Prime Factorization of 10809

Prime Factorization of 10823

Now multiplying the highest exponent prime factors to calculate the LCM of 10809 and 10823.

LCM(10809,10823) = 3² × 1201¹ × 79¹ × 137¹
LCM(10809,10823) = 116985807