What is the Least Common Multiple of 14109 and 14123?

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 14109 and 14123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14109 and 14123, than apply into the LCM equation.

GCF(14109,14123) = 1
LCM(14109,14123) = ( 14109 × 14123) / 1
LCM(14109,14123) = 199261407 / 1
LCM(14109,14123) = 199261407

Least Common Multiple (LCM) of 14109 and 14123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14109 and 14123. First we will calculate the prime factors of 14109 and 14123.

Prime Factorization of 14109

Prime Factorization of 14123

Now multiplying the highest exponent prime factors to calculate the LCM of 14109 and 14123.

LCM(14109,14123) = 3¹ × 4703¹ × 29¹ × 487¹
LCM(14109,14123) = 199261407