What is the Least Common Multiple of 10824 and 10836?

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 10836 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 10836, than apply into the LCM equation.

GCF(10824,10836) = 12
LCM(10824,10836) = ( 10824 × 10836) / 12
LCM(10824,10836) = 117288864 / 12
LCM(10824,10836) = 9774072

Least Common Multiple (LCM) of 10824 and 10836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10824 and 10836. First we will calculate the prime factors of 10824 and 10836.

Prime Factorization of 10824

Prime Factorization of 10836

Now multiplying the highest exponent prime factors to calculate the LCM of 10824 and 10836.

LCM(10824,10836) = 2³ × 3² × 11¹ × 41¹ × 7¹ × 43¹
LCM(10824,10836) = 9774072