What is the Least Common Multiple of 47382 and 47399?

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 47382 and 47399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47382 and 47399, than apply into the LCM equation.

GCF(47382,47399) = 1
LCM(47382,47399) = ( 47382 × 47399) / 1
LCM(47382,47399) = 2245859418 / 1
LCM(47382,47399) = 2245859418

Least Common Multiple (LCM) of 47382 and 47399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47382 and 47399. First we will calculate the prime factors of 47382 and 47399.

Prime Factorization of 47382

Prime Factorization of 47399

Now multiplying the highest exponent prime factors to calculate the LCM of 47382 and 47399.

LCM(47382,47399) = 2¹ × 3¹ × 53¹ × 149¹ × 11¹ × 31¹ × 139¹
LCM(47382,47399) = 2245859418