What is the Least Common Multiple of 29034 and 29047?

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 29034 and 29047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29034 and 29047, than apply into the LCM equation.

GCF(29034,29047) = 1
LCM(29034,29047) = ( 29034 × 29047) / 1
LCM(29034,29047) = 843350598 / 1
LCM(29034,29047) = 843350598

Least Common Multiple (LCM) of 29034 and 29047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29034 and 29047. First we will calculate the prime factors of 29034 and 29047.

Prime Factorization of 29034

Prime Factorization of 29047

Now multiplying the highest exponent prime factors to calculate the LCM of 29034 and 29047.

LCM(29034,29047) = 2¹ × 3² × 1613¹ × 31¹ × 937¹
LCM(29034,29047) = 843350598