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What is the Least Common Multiple of 5017 and 5025?

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 5025 is 25210425.

LCM(5017,5025) = 25210425

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Least Common Multiple of 5017 and 5025 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 5025, than apply into the LCM equation.

GCF(5017,5025) = 1
LCM(5017,5025) = ( 5017 × 5025) / 1
LCM(5017,5025) = 25210425 / 1
LCM(5017,5025) = 25210425

Least Common Multiple (LCM) of 5017 and 5025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5017 and 5025. First we will calculate the prime factors of 5017 and 5025.

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 5025

Prime factors of 5025 are 3, 5, 67. Prime factorization of 5025 in exponential form is:

5025 = 31 × 52 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 5017 and 5025.

LCM(5017,5025) = 291 × 1731 × 31 × 52 × 671
LCM(5017,5025) = 25210425