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What is the Least Common Multiple of 40504 and 40517?

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 40504 and 40517 is 1641100568.

LCM(40504,40517) = 1641100568

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Least Common Multiple of 40504 and 40517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40504 and 40517, than apply into the LCM equation.

GCF(40504,40517) = 1
LCM(40504,40517) = ( 40504 × 40517) / 1
LCM(40504,40517) = 1641100568 / 1
LCM(40504,40517) = 1641100568

Least Common Multiple (LCM) of 40504 and 40517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40504 and 40517. First we will calculate the prime factors of 40504 and 40517.

Prime Factorization of 40504

Prime factors of 40504 are 2, 61, 83. Prime factorization of 40504 in exponential form is:

40504 = 23 × 611 × 831

Prime Factorization of 40517

Prime factors of 40517 are 31, 1307. Prime factorization of 40517 in exponential form is:

40517 = 311 × 13071

Now multiplying the highest exponent prime factors to calculate the LCM of 40504 and 40517.

LCM(40504,40517) = 23 × 611 × 831 × 311 × 13071
LCM(40504,40517) = 1641100568