What is the Least Common Multiple of 48447 and 48459?

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 48447 and 48459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48447 and 48459, than apply into the LCM equation.

GCF(48447,48459) = 3
LCM(48447,48459) = ( 48447 × 48459) / 3
LCM(48447,48459) = 2347693173 / 3
LCM(48447,48459) = 782564391

Least Common Multiple (LCM) of 48447 and 48459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48447 and 48459. First we will calculate the prime factors of 48447 and 48459.

Prime Factorization of 48447

Prime Factorization of 48459

Now multiplying the highest exponent prime factors to calculate the LCM of 48447 and 48459.

LCM(48447,48459) = 3² × 7¹ × 769¹ × 29¹ × 557¹
LCM(48447,48459) = 782564391