What is the Least Common Multiple of 47092 and 47099?

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 47092 and 47099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47092 and 47099, than apply into the LCM equation.

GCF(47092,47099) = 1
LCM(47092,47099) = ( 47092 × 47099) / 1
LCM(47092,47099) = 2217986108 / 1
LCM(47092,47099) = 2217986108

Least Common Multiple (LCM) of 47092 and 47099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47092 and 47099. First we will calculate the prime factors of 47092 and 47099.

Prime Factorization of 47092

Prime Factorization of 47099

Now multiplying the highest exponent prime factors to calculate the LCM of 47092 and 47099.

LCM(47092,47099) = 2² × 61¹ × 193¹ × 13¹ × 3623¹
LCM(47092,47099) = 2217986108