What is the Least Common Multiple of 10824 and 10837?

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 10824 and 10837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10824 and 10837, than apply into the LCM equation.

GCF(10824,10837) = 1
LCM(10824,10837) = ( 10824 × 10837) / 1
LCM(10824,10837) = 117299688 / 1
LCM(10824,10837) = 117299688

Least Common Multiple (LCM) of 10824 and 10837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10824 and 10837. First we will calculate the prime factors of 10824 and 10837.

Prime Factorization of 10824

Prime Factorization of 10837

Now multiplying the highest exponent prime factors to calculate the LCM of 10824 and 10837.

LCM(10824,10837) = 2³ × 3¹ × 11¹ × 41¹ × 10837¹
LCM(10824,10837) = 117299688