What is the Least Common Multiple of 29084 and 29099?

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 29084 and 29099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29084 and 29099, than apply into the LCM equation.

GCF(29084,29099) = 1
LCM(29084,29099) = ( 29084 × 29099) / 1
LCM(29084,29099) = 846315316 / 1
LCM(29084,29099) = 846315316

Least Common Multiple (LCM) of 29084 and 29099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29084 and 29099. First we will calculate the prime factors of 29084 and 29099.

Prime Factorization of 29084

Prime Factorization of 29099

Now multiplying the highest exponent prime factors to calculate the LCM of 29084 and 29099.

LCM(29084,29099) = 2² × 11¹ × 661¹ × 7¹ × 4157¹
LCM(29084,29099) = 846315316