What is the Least Common Multiple of 29099 and 29119?

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 29099 and 29119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29099 and 29119, than apply into the LCM equation.

GCF(29099,29119) = 1
LCM(29099,29119) = ( 29099 × 29119) / 1
LCM(29099,29119) = 847333781 / 1
LCM(29099,29119) = 847333781

Least Common Multiple (LCM) of 29099 and 29119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29099 and 29119. First we will calculate the prime factors of 29099 and 29119.

Prime Factorization of 29099

Prime Factorization of 29119

Now multiplying the highest exponent prime factors to calculate the LCM of 29099 and 29119.

LCM(29099,29119) = 7¹ × 4157¹ × 37¹ × 787¹
LCM(29099,29119) = 847333781