What is the Least Common Multiple of 47993 and 47999?

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 47993 and 47999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47993 and 47999, than apply into the LCM equation.

GCF(47993,47999) = 1
LCM(47993,47999) = ( 47993 × 47999) / 1
LCM(47993,47999) = 2303616007 / 1
LCM(47993,47999) = 2303616007

Least Common Multiple (LCM) of 47993 and 47999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47993 and 47999. First we will calculate the prime factors of 47993 and 47999.

Prime Factorization of 47993

Prime Factorization of 47999

Now multiplying the highest exponent prime factors to calculate the LCM of 47993 and 47999.

LCM(47993,47999) = 11¹ × 4363¹ × 7¹ × 6857¹
LCM(47993,47999) = 2303616007