What is the Least Common Multiple of 14874 and 14889?

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 14874 and 14889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14874 and 14889, than apply into the LCM equation.

GCF(14874,14889) = 3
LCM(14874,14889) = ( 14874 × 14889) / 3
LCM(14874,14889) = 221458986 / 3
LCM(14874,14889) = 73819662

Least Common Multiple (LCM) of 14874 and 14889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14874 and 14889. First we will calculate the prime factors of 14874 and 14889.

Prime Factorization of 14874

Prime Factorization of 14889

Now multiplying the highest exponent prime factors to calculate the LCM of 14874 and 14889.

LCM(14874,14889) = 2¹ × 3¹ × 37¹ × 67¹ × 7¹ × 709¹
LCM(14874,14889) = 73819662