What is the Least Common Multiple of 14103 and 14119?

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 14103 and 14119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14103 and 14119, than apply into the LCM equation.

GCF(14103,14119) = 1
LCM(14103,14119) = ( 14103 × 14119) / 1
LCM(14103,14119) = 199120257 / 1
LCM(14103,14119) = 199120257

Least Common Multiple (LCM) of 14103 and 14119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14103 and 14119. First we will calculate the prime factors of 14103 and 14119.

Prime Factorization of 14103

Prime Factorization of 14119

Now multiplying the highest exponent prime factors to calculate the LCM of 14103 and 14119.

LCM(14103,14119) = 3² × 1567¹ × 7¹ × 2017¹
LCM(14103,14119) = 199120257