What is the Least Common Multiple of 47385 and 47394?

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 47394 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 47394, than apply into the LCM equation.

GCF(47385,47394) = 9
LCM(47385,47394) = ( 47385 × 47394) / 9
LCM(47385,47394) = 2245764690 / 9
LCM(47385,47394) = 249529410

Least Common Multiple (LCM) of 47385 and 47394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47385 and 47394. First we will calculate the prime factors of 47385 and 47394.

Prime Factorization of 47385

Prime Factorization of 47394

Now multiplying the highest exponent prime factors to calculate the LCM of 47385 and 47394.

LCM(47385,47394) = 3⁶ × 5¹ × 13¹ × 2¹ × 2633¹
LCM(47385,47394) = 249529410