What is the Least Common Multiple of 11805 and 11824?

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 11805 and 11824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11805 and 11824, than apply into the LCM equation.

GCF(11805,11824) = 1
LCM(11805,11824) = ( 11805 × 11824) / 1
LCM(11805,11824) = 139582320 / 1
LCM(11805,11824) = 139582320

Least Common Multiple (LCM) of 11805 and 11824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11805 and 11824. First we will calculate the prime factors of 11805 and 11824.

Prime Factorization of 11805

Prime Factorization of 11824

Now multiplying the highest exponent prime factors to calculate the LCM of 11805 and 11824.

LCM(11805,11824) = 3¹ × 5¹ × 787¹ × 2⁴ × 739¹
LCM(11805,11824) = 139582320