What is the Least Common Multiple of 14382 and 14399?

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 14382 and 14399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14382 and 14399, than apply into the LCM equation.

GCF(14382,14399) = 17
LCM(14382,14399) = ( 14382 × 14399) / 17
LCM(14382,14399) = 207086418 / 17
LCM(14382,14399) = 12181554

Least Common Multiple (LCM) of 14382 and 14399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14382 and 14399. First we will calculate the prime factors of 14382 and 14399.

Prime Factorization of 14382

Prime Factorization of 14399

Now multiplying the highest exponent prime factors to calculate the LCM of 14382 and 14399.

LCM(14382,14399) = 2¹ × 3² × 17¹ × 47¹ × 7¹ × 11²
LCM(14382,14399) = 12181554