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What is the Least Common Multiple of 5017 and 5035?

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 5017 and 5035 is 25260595.

LCM(5017,5035) = 25260595

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Least Common Multiple of 5017 and 5035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5017 and 5035, than apply into the LCM equation.

GCF(5017,5035) = 1
LCM(5017,5035) = ( 5017 × 5035) / 1
LCM(5017,5035) = 25260595 / 1
LCM(5017,5035) = 25260595

Least Common Multiple (LCM) of 5017 and 5035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5017 and 5035. First we will calculate the prime factors of 5017 and 5035.

Prime Factorization of 5017

Prime factors of 5017 are 29, 173. Prime factorization of 5017 in exponential form is:

5017 = 291 × 1731

Prime Factorization of 5035

Prime factors of 5035 are 5, 19, 53. Prime factorization of 5035 in exponential form is:

5035 = 51 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 5017 and 5035.

LCM(5017,5035) = 291 × 1731 × 51 × 191 × 531
LCM(5017,5035) = 25260595