What is the Least Common Multiple of 14429 and 14441?

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 14429 and 14441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14429 and 14441, than apply into the LCM equation.

GCF(14429,14441) = 1
LCM(14429,14441) = ( 14429 × 14441) / 1
LCM(14429,14441) = 208369189 / 1
LCM(14429,14441) = 208369189

Least Common Multiple (LCM) of 14429 and 14441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14429 and 14441. First we will calculate the prime factors of 14429 and 14441.

Prime Factorization of 14429

Prime Factorization of 14441

Now multiplying the highest exponent prime factors to calculate the LCM of 14429 and 14441.

LCM(14429,14441) = 47¹ × 307¹ × 7¹ × 2063¹
LCM(14429,14441) = 208369189