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What is the Least Common Multiple of 41586 and 41605?

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 (LCM) of 41586 and 41605 is 1730185530.

LCM(41586,41605) = 1730185530

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Least Common Multiple of 41586 and 41605 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 41605, than apply into the LCM equation.

GCF(41586,41605) = 1
LCM(41586,41605) = ( 41586 × 41605) / 1
LCM(41586,41605) = 1730185530 / 1
LCM(41586,41605) = 1730185530

Least Common Multiple (LCM) of 41586 and 41605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41586 and 41605. First we will calculate the prime factors of 41586 and 41605.

Prime Factorization of 41586

Prime factors of 41586 are 2, 3, 29, 239. Prime factorization of 41586 in exponential form is:

41586 = 21 × 31 × 291 × 2391

Prime Factorization of 41605

Prime factors of 41605 are 5, 53, 157. Prime factorization of 41605 in exponential form is:

41605 = 51 × 531 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 41586 and 41605.

LCM(41586,41605) = 21 × 31 × 291 × 2391 × 51 × 531 × 1571
LCM(41586,41605) = 1730185530