What is the Least Common Multiple of 47923 and 47941?

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 47923 and 47941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47923 and 47941, than apply into the LCM equation.

GCF(47923,47941) = 1
LCM(47923,47941) = ( 47923 × 47941) / 1
LCM(47923,47941) = 2297476543 / 1
LCM(47923,47941) = 2297476543

Least Common Multiple (LCM) of 47923 and 47941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47923 and 47941. First we will calculate the prime factors of 47923 and 47941.

Prime Factorization of 47923

Prime Factorization of 47941

Now multiplying the highest exponent prime factors to calculate the LCM of 47923 and 47941.

LCM(47923,47941) = 17¹ × 2819¹ × 191¹ × 251¹
LCM(47923,47941) = 2297476543