What is the Least Common Multiple of 14625 and 14643?

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 14625 and 14643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14625 and 14643, than apply into the LCM equation.

GCF(14625,14643) = 9
LCM(14625,14643) = ( 14625 × 14643) / 9
LCM(14625,14643) = 214153875 / 9
LCM(14625,14643) = 23794875

Least Common Multiple (LCM) of 14625 and 14643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14625 and 14643. First we will calculate the prime factors of 14625 and 14643.

Prime Factorization of 14625

Prime Factorization of 14643

Now multiplying the highest exponent prime factors to calculate the LCM of 14625 and 14643.

LCM(14625,14643) = 3² × 5³ × 13¹ × 1627¹
LCM(14625,14643) = 23794875