What is the Least Common Multiple of 41393 and 41401?

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 41393 and 41401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41393 and 41401, than apply into the LCM equation.

GCF(41393,41401) = 1
LCM(41393,41401) = ( 41393 × 41401) / 1
LCM(41393,41401) = 1713711593 / 1
LCM(41393,41401) = 1713711593

Least Common Multiple (LCM) of 41393 and 41401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41393 and 41401. First we will calculate the prime factors of 41393 and 41401.

Prime Factorization of 41393

Prime Factorization of 41401

Now multiplying the highest exponent prime factors to calculate the LCM of 41393 and 41401.

LCM(41393,41401) = 11¹ × 53¹ × 71¹ × 19¹ × 2179¹
LCM(41393,41401) = 1713711593