What is the Least Common Multiple of 75384 and 75403?

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 75384 and 75403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75384 and 75403, than apply into the LCM equation.

GCF(75384,75403) = 1
LCM(75384,75403) = ( 75384 × 75403) / 1
LCM(75384,75403) = 5684179752 / 1
LCM(75384,75403) = 5684179752

Least Common Multiple (LCM) of 75384 and 75403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75384 and 75403. First we will calculate the prime factors of 75384 and 75403.

Prime Factorization of 75384

Prime Factorization of 75403

Now multiplying the highest exponent prime factors to calculate the LCM of 75384 and 75403.

LCM(75384,75403) = 2³ × 3³ × 349¹ × 75403¹
LCM(75384,75403) = 5684179752