What is the Least Common Multiple of 10823 and 10839?

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 10823 and 10839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10823 and 10839, than apply into the LCM equation.

GCF(10823,10839) = 1
LCM(10823,10839) = ( 10823 × 10839) / 1
LCM(10823,10839) = 117310497 / 1
LCM(10823,10839) = 117310497

Least Common Multiple (LCM) of 10823 and 10839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10823 and 10839. First we will calculate the prime factors of 10823 and 10839.

Prime Factorization of 10823

Prime Factorization of 10839

Now multiplying the highest exponent prime factors to calculate the LCM of 10823 and 10839.

LCM(10823,10839) = 79¹ × 137¹ × 3¹ × 3613¹
LCM(10823,10839) = 117310497