What is the Least Common Multiple of 41575 and 41582?

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 41575 and 41582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41575 and 41582, than apply into the LCM equation.

GCF(41575,41582) = 1
LCM(41575,41582) = ( 41575 × 41582) / 1
LCM(41575,41582) = 1728771650 / 1
LCM(41575,41582) = 1728771650

Least Common Multiple (LCM) of 41575 and 41582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41575 and 41582. First we will calculate the prime factors of 41575 and 41582.

Prime Factorization of 41575

Prime Factorization of 41582

Now multiplying the highest exponent prime factors to calculate the LCM of 41575 and 41582.

LCM(41575,41582) = 5² × 1663¹ × 2¹ × 17¹ × 1223¹
LCM(41575,41582) = 1728771650