What is the Least Common Multiple of 41009 and 41013?

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 41013 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 41013, than apply into the LCM equation.

GCF(41009,41013) = 1
LCM(41009,41013) = ( 41009 × 41013) / 1
LCM(41009,41013) = 1681902117 / 1
LCM(41009,41013) = 1681902117

Least Common Multiple (LCM) of 41009 and 41013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41009 and 41013. First we will calculate the prime factors of 41009 and 41013.

Prime Factorization of 41009

Prime Factorization of 41013

Now multiplying the highest exponent prime factors to calculate the LCM of 41009 and 41013.

LCM(41009,41013) = 23¹ × 1783¹ × 3³ × 7² × 31¹
LCM(41009,41013) = 1681902117