What is the Least Common Multiple of 41586 and 41604?

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 41586 and 41604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41586 and 41604, than apply into the LCM equation.

GCF(41586,41604) = 6
LCM(41586,41604) = ( 41586 × 41604) / 6
LCM(41586,41604) = 1730143944 / 6
LCM(41586,41604) = 288357324

Least Common Multiple (LCM) of 41586 and 41604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41586 and 41604. First we will calculate the prime factors of 41586 and 41604.

Prime Factorization of 41586

Prime Factorization of 41604

Now multiplying the highest exponent prime factors to calculate the LCM of 41586 and 41604.

LCM(41586,41604) = 2² × 3¹ × 29¹ × 239¹ × 3467¹
LCM(41586,41604) = 288357324