What is the Least Common Multiple of 41009 and 41029?

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 41009 and 41029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41009 and 41029, than apply into the LCM equation.

GCF(41009,41029) = 1
LCM(41009,41029) = ( 41009 × 41029) / 1
LCM(41009,41029) = 1682558261 / 1
LCM(41009,41029) = 1682558261

Least Common Multiple (LCM) of 41009 and 41029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41009 and 41029. First we will calculate the prime factors of 41009 and 41029.

Prime Factorization of 41009

Prime Factorization of 41029

Now multiplying the highest exponent prime factors to calculate the LCM of 41009 and 41029.

LCM(41009,41029) = 23¹ × 1783¹ × 89¹ × 461¹
LCM(41009,41029) = 1682558261