What is the Least Common Multiple of 41193 and 41213?

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 41193 and 41213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41193 and 41213, than apply into the LCM equation.

GCF(41193,41213) = 1
LCM(41193,41213) = ( 41193 × 41213) / 1
LCM(41193,41213) = 1697687109 / 1
LCM(41193,41213) = 1697687109

Least Common Multiple (LCM) of 41193 and 41213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41193 and 41213. First we will calculate the prime factors of 41193 and 41213.

Prime Factorization of 41193

Prime Factorization of 41213

Now multiplying the highest exponent prime factors to calculate the LCM of 41193 and 41213.

LCM(41193,41213) = 3² × 23¹ × 199¹ × 41213¹
LCM(41193,41213) = 1697687109