What is the Least Common Multiple of 29110 and 29122?

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 29110 and 29122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29110 and 29122, than apply into the LCM equation.

GCF(29110,29122) = 2
LCM(29110,29122) = ( 29110 × 29122) / 2
LCM(29110,29122) = 847741420 / 2
LCM(29110,29122) = 423870710

Least Common Multiple (LCM) of 29110 and 29122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29110 and 29122. First we will calculate the prime factors of 29110 and 29122.

Prime Factorization of 29110

Prime Factorization of 29122

Now multiplying the highest exponent prime factors to calculate the LCM of 29110 and 29122.

LCM(29110,29122) = 2¹ × 5¹ × 41¹ × 71¹ × 14561¹
LCM(29110,29122) = 423870710