What is the Least Common Multiple of 14489 and 14507?

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 14489 and 14507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14489 and 14507, than apply into the LCM equation.

GCF(14489,14507) = 1
LCM(14489,14507) = ( 14489 × 14507) / 1
LCM(14489,14507) = 210191923 / 1
LCM(14489,14507) = 210191923

Least Common Multiple (LCM) of 14489 and 14507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14489 and 14507. First we will calculate the prime factors of 14489 and 14507.

Prime Factorization of 14489

Prime Factorization of 14507

Now multiplying the highest exponent prime factors to calculate the LCM of 14489 and 14507.

LCM(14489,14507) = 14489¹ × 89¹ × 163¹
LCM(14489,14507) = 210191923