What is the Least Common Multiple of 29625 and 29643?

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 29625 and 29643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29625 and 29643, than apply into the LCM equation.

GCF(29625,29643) = 3
LCM(29625,29643) = ( 29625 × 29643) / 3
LCM(29625,29643) = 878173875 / 3
LCM(29625,29643) = 292724625

Least Common Multiple (LCM) of 29625 and 29643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29625 and 29643. First we will calculate the prime factors of 29625 and 29643.

Prime Factorization of 29625

Prime Factorization of 29643

Now multiplying the highest exponent prime factors to calculate the LCM of 29625 and 29643.

LCM(29625,29643) = 3¹ × 5³ × 79¹ × 41¹ × 241¹
LCM(29625,29643) = 292724625