What is the Least Common Multiple of 14099 and 14111?

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 14099 and 14111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14099 and 14111, than apply into the LCM equation.

GCF(14099,14111) = 1
LCM(14099,14111) = ( 14099 × 14111) / 1
LCM(14099,14111) = 198950989 / 1
LCM(14099,14111) = 198950989

Least Common Multiple (LCM) of 14099 and 14111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14099 and 14111. First we will calculate the prime factors of 14099 and 14111.

Prime Factorization of 14099

Prime Factorization of 14111

Now multiplying the highest exponent prime factors to calculate the LCM of 14099 and 14111.

LCM(14099,14111) = 23¹ × 613¹ × 103¹ × 137¹
LCM(14099,14111) = 198950989