What is the Least Common Multiple of 29023 and 29029?

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 29023 and 29029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29023 and 29029, than apply into the LCM equation.

GCF(29023,29029) = 1
LCM(29023,29029) = ( 29023 × 29029) / 1
LCM(29023,29029) = 842508667 / 1
LCM(29023,29029) = 842508667

Least Common Multiple (LCM) of 29023 and 29029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29023 and 29029. First we will calculate the prime factors of 29023 and 29029.

Prime Factorization of 29023

Prime Factorization of 29029

Now multiplying the highest exponent prime factors to calculate the LCM of 29023 and 29029.

LCM(29023,29029) = 29023¹ × 7¹ × 11¹ × 13¹ × 29¹
LCM(29023,29029) = 842508667