What is the Least Common Multiple of 41029 and 41045?

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 41029 and 41045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41029 and 41045, than apply into the LCM equation.

GCF(41029,41045) = 1
LCM(41029,41045) = ( 41029 × 41045) / 1
LCM(41029,41045) = 1684035305 / 1
LCM(41029,41045) = 1684035305

Least Common Multiple (LCM) of 41029 and 41045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41029 and 41045. First we will calculate the prime factors of 41029 and 41045.

Prime Factorization of 41029

Prime Factorization of 41045

Now multiplying the highest exponent prime factors to calculate the LCM of 41029 and 41045.

LCM(41029,41045) = 89¹ × 461¹ × 5¹ × 8209¹
LCM(41029,41045) = 1684035305