What is the Least Common Multiple of 18444 and 18464?

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 18444 and 18464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18444 and 18464, than apply into the LCM equation.

GCF(18444,18464) = 4
LCM(18444,18464) = ( 18444 × 18464) / 4
LCM(18444,18464) = 340550016 / 4
LCM(18444,18464) = 85137504

Least Common Multiple (LCM) of 18444 and 18464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18444 and 18464. First we will calculate the prime factors of 18444 and 18464.

Prime Factorization of 18444

Prime Factorization of 18464

Now multiplying the highest exponent prime factors to calculate the LCM of 18444 and 18464.

LCM(18444,18464) = 2⁵ × 3¹ × 29¹ × 53¹ × 577¹
LCM(18444,18464) = 85137504