What is the Least Common Multiple of 47385 and 47403?

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 47385 and 47403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47385 and 47403, than apply into the LCM equation.

GCF(47385,47403) = 9
LCM(47385,47403) = ( 47385 × 47403) / 9
LCM(47385,47403) = 2246191155 / 9
LCM(47385,47403) = 249576795

Least Common Multiple (LCM) of 47385 and 47403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47385 and 47403. First we will calculate the prime factors of 47385 and 47403.

Prime Factorization of 47385

Prime Factorization of 47403

Now multiplying the highest exponent prime factors to calculate the LCM of 47385 and 47403.

LCM(47385,47403) = 3⁶ × 5¹ × 13¹ × 23¹ × 229¹
LCM(47385,47403) = 249576795