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What is the Least Common Multiple of 28186 and 28205?

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 28186 and 28205 is 794986130.

LCM(28186,28205) = 794986130

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Least Common Multiple of 28186 and 28205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28186 and 28205, than apply into the LCM equation.

GCF(28186,28205) = 1
LCM(28186,28205) = ( 28186 × 28205) / 1
LCM(28186,28205) = 794986130 / 1
LCM(28186,28205) = 794986130

Least Common Multiple (LCM) of 28186 and 28205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28186 and 28205. First we will calculate the prime factors of 28186 and 28205.

Prime Factorization of 28186

Prime factors of 28186 are 2, 17, 829. Prime factorization of 28186 in exponential form is:

28186 = 21 × 171 × 8291

Prime Factorization of 28205

Prime factors of 28205 are 5, 5641. Prime factorization of 28205 in exponential form is:

28205 = 51 × 56411

Now multiplying the highest exponent prime factors to calculate the LCM of 28186 and 28205.

LCM(28186,28205) = 21 × 171 × 8291 × 51 × 56411
LCM(28186,28205) = 794986130