What is the Least Common Multiple of 14889 and 14903?

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 14889 and 14903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14889 and 14903, than apply into the LCM equation.

GCF(14889,14903) = 7
LCM(14889,14903) = ( 14889 × 14903) / 7
LCM(14889,14903) = 221890767 / 7
LCM(14889,14903) = 31698681

Least Common Multiple (LCM) of 14889 and 14903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14889 and 14903. First we will calculate the prime factors of 14889 and 14903.

Prime Factorization of 14889

Prime Factorization of 14903

Now multiplying the highest exponent prime factors to calculate the LCM of 14889 and 14903.

LCM(14889,14903) = 3¹ × 7¹ × 709¹ × 2129¹
LCM(14889,14903) = 31698681