What is the Least Common Multiple of 18784 and 18800?

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 18784 and 18800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18784 and 18800, than apply into the LCM equation.

GCF(18784,18800) = 16
LCM(18784,18800) = ( 18784 × 18800) / 16
LCM(18784,18800) = 353139200 / 16
LCM(18784,18800) = 22071200

Least Common Multiple (LCM) of 18784 and 18800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18784 and 18800. First we will calculate the prime factors of 18784 and 18800.

Prime Factorization of 18784

Prime Factorization of 18800

Now multiplying the highest exponent prime factors to calculate the LCM of 18784 and 18800.

LCM(18784,18800) = 2⁵ × 587¹ × 5² × 47¹
LCM(18784,18800) = 22071200