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What is the Least Common Multiple of 5017 and 5036?

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 5036 is 25265612.

LCM(5017,5036) = 25265612

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Least Common Multiple of 5017 and 5036 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 5036, than apply into the LCM equation.

GCF(5017,5036) = 1
LCM(5017,5036) = ( 5017 × 5036) / 1
LCM(5017,5036) = 25265612 / 1
LCM(5017,5036) = 25265612

Least Common Multiple (LCM) of 5017 and 5036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5017 and 5036. First we will calculate the prime factors of 5017 and 5036.

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 5036

Prime factors of 5036 are 2, 1259. Prime factorization of 5036 in exponential form is:

5036 = 22 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 5017 and 5036.

LCM(5017,5036) = 291 × 1731 × 22 × 12591
LCM(5017,5036) = 25265612