What is the Least Common Multiple of 47381 and 47396?

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 47381 and 47396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47381 and 47396, than apply into the LCM equation.

GCF(47381,47396) = 1
LCM(47381,47396) = ( 47381 × 47396) / 1
LCM(47381,47396) = 2245669876 / 1
LCM(47381,47396) = 2245669876

Least Common Multiple (LCM) of 47381 and 47396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47381 and 47396. First we will calculate the prime factors of 47381 and 47396.

Prime Factorization of 47381

Prime Factorization of 47396

Now multiplying the highest exponent prime factors to calculate the LCM of 47381 and 47396.

LCM(47381,47396) = 47381¹ × 2² × 17² × 41¹
LCM(47381,47396) = 2245669876