What is the Least Common Multiple of 14365 and 14382?

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 14365 and 14382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14365 and 14382, than apply into the LCM equation.

GCF(14365,14382) = 17
LCM(14365,14382) = ( 14365 × 14382) / 17
LCM(14365,14382) = 206597430 / 17
LCM(14365,14382) = 12152790

Least Common Multiple (LCM) of 14365 and 14382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14365 and 14382. First we will calculate the prime factors of 14365 and 14382.

Prime Factorization of 14365

Prime Factorization of 14382

Now multiplying the highest exponent prime factors to calculate the LCM of 14365 and 14382.

LCM(14365,14382) = 5¹ × 13² × 17¹ × 2¹ × 3² × 47¹
LCM(14365,14382) = 12152790