What is the Least Common Multiple of 10805 and 10824?

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 10805 and 10824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10805 and 10824, than apply into the LCM equation.

GCF(10805,10824) = 1
LCM(10805,10824) = ( 10805 × 10824) / 1
LCM(10805,10824) = 116953320 / 1
LCM(10805,10824) = 116953320

Least Common Multiple (LCM) of 10805 and 10824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10805 and 10824. First we will calculate the prime factors of 10805 and 10824.

Prime Factorization of 10805

Prime Factorization of 10824

Now multiplying the highest exponent prime factors to calculate the LCM of 10805 and 10824.

LCM(10805,10824) = 5¹ × 2161¹ × 2³ × 3¹ × 11¹ × 41¹
LCM(10805,10824) = 116953320