What is the Least Common Multiple of 14616 and 14623?

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 14616 and 14623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14616 and 14623, than apply into the LCM equation.

GCF(14616,14623) = 7
LCM(14616,14623) = ( 14616 × 14623) / 7
LCM(14616,14623) = 213729768 / 7
LCM(14616,14623) = 30532824

Least Common Multiple (LCM) of 14616 and 14623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14616 and 14623. First we will calculate the prime factors of 14616 and 14623.

Prime Factorization of 14616

Prime Factorization of 14623

Now multiplying the highest exponent prime factors to calculate the LCM of 14616 and 14623.

LCM(14616,14623) = 2³ × 3² × 7¹ × 29¹ × 2089¹
LCM(14616,14623) = 30532824