What is the Least Common Multiple of 4384 and 4403?

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 4384 and 4403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4384 and 4403, than apply into the LCM equation.

GCF(4384,4403) = 1
LCM(4384,4403) = ( 4384 × 4403) / 1
LCM(4384,4403) = 19302752 / 1
LCM(4384,4403) = 19302752

Least Common Multiple (LCM) of 4384 and 4403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4384 and 4403. First we will calculate the prime factors of 4384 and 4403.

Prime Factorization of 4384

Prime Factorization of 4403

Now multiplying the highest exponent prime factors to calculate the LCM of 4384 and 4403.

LCM(4384,4403) = 2⁵ × 137¹ × 7¹ × 17¹ × 37¹
LCM(4384,4403) = 19302752