What is the Least Common Multiple of 40993 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 40993 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 40993 and 41013, than apply into the LCM equation.

GCF(40993,41013) = 1
LCM(40993,41013) = ( 40993 × 41013) / 1
LCM(40993,41013) = 1681245909 / 1
LCM(40993,41013) = 1681245909

Least Common Multiple (LCM) of 40993 and 41013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40993 and 41013. First we will calculate the prime factors of 40993 and 41013.

Prime Factorization of 40993

Prime Factorization of 41013

Now multiplying the highest exponent prime factors to calculate the LCM of 40993 and 41013.

LCM(40993,41013) = 40993¹ × 3³ × 7² × 31¹
LCM(40993,41013) = 1681245909