What is the Least Common Multiple of 41598 and 41611?

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 41598 and 41611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41598 and 41611, than apply into the LCM equation.

GCF(41598,41611) = 1
LCM(41598,41611) = ( 41598 × 41611) / 1
LCM(41598,41611) = 1730934378 / 1
LCM(41598,41611) = 1730934378

Least Common Multiple (LCM) of 41598 and 41611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41598 and 41611. First we will calculate the prime factors of 41598 and 41611.

Prime Factorization of 41598

Prime Factorization of 41611

Now multiplying the highest exponent prime factors to calculate the LCM of 41598 and 41611.

LCM(41598,41611) = 2¹ × 3² × 2311¹ × 41611¹
LCM(41598,41611) = 1730934378