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What is the Least Common Multiple of 28017 and 28025?

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 28017 and 28025 is 785176425.

LCM(28017,28025) = 785176425

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Least Common Multiple of 28017 and 28025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28017 and 28025, than apply into the LCM equation.

GCF(28017,28025) = 1
LCM(28017,28025) = ( 28017 × 28025) / 1
LCM(28017,28025) = 785176425 / 1
LCM(28017,28025) = 785176425

Least Common Multiple (LCM) of 28017 and 28025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28017 and 28025. First we will calculate the prime factors of 28017 and 28025.

Prime Factorization of 28017

Prime factors of 28017 are 3, 11, 283. Prime factorization of 28017 in exponential form is:

28017 = 32 × 111 × 2831

Prime Factorization of 28025

Prime factors of 28025 are 5, 19, 59. Prime factorization of 28025 in exponential form is:

28025 = 52 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 28017 and 28025.

LCM(28017,28025) = 32 × 111 × 2831 × 52 × 191 × 591
LCM(28017,28025) = 785176425