What is the Least Common Multiple of 18384 and 18403?

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 18384 and 18403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18384 and 18403, than apply into the LCM equation.

GCF(18384,18403) = 1
LCM(18384,18403) = ( 18384 × 18403) / 1
LCM(18384,18403) = 338320752 / 1
LCM(18384,18403) = 338320752

Least Common Multiple (LCM) of 18384 and 18403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18384 and 18403. First we will calculate the prime factors of 18384 and 18403.

Prime Factorization of 18384

Prime Factorization of 18403

Now multiplying the highest exponent prime factors to calculate the LCM of 18384 and 18403.

LCM(18384,18403) = 2⁴ × 3¹ × 383¹ × 7¹ × 11¹ × 239¹
LCM(18384,18403) = 338320752