What is the Least Common Multiple of 41318 and 41333?

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 41318 and 41333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41318 and 41333, than apply into the LCM equation.

GCF(41318,41333) = 1
LCM(41318,41333) = ( 41318 × 41333) / 1
LCM(41318,41333) = 1707796894 / 1
LCM(41318,41333) = 1707796894

Least Common Multiple (LCM) of 41318 and 41333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41318 and 41333. First we will calculate the prime factors of 41318 and 41333.

Prime Factorization of 41318

Prime Factorization of 41333

Now multiplying the highest exponent prime factors to calculate the LCM of 41318 and 41333.

LCM(41318,41333) = 2¹ × 73¹ × 283¹ × 41333¹
LCM(41318,41333) = 1707796894