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What is the Least Common Multiple of 28205 and 28223?

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 28205 and 28223 is 796029715.

LCM(28205,28223) = 796029715

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Least Common Multiple of 28205 and 28223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28205 and 28223, than apply into the LCM equation.

GCF(28205,28223) = 1
LCM(28205,28223) = ( 28205 × 28223) / 1
LCM(28205,28223) = 796029715 / 1
LCM(28205,28223) = 796029715

Least Common Multiple (LCM) of 28205 and 28223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28205 and 28223. First we will calculate the prime factors of 28205 and 28223.

Prime Factorization of 28205

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

28205 = 51 × 56411

Prime Factorization of 28223

Prime factors of 28223 are 13, 167. Prime factorization of 28223 in exponential form is:

28223 = 132 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 28205 and 28223.

LCM(28205,28223) = 51 × 56411 × 132 × 1671
LCM(28205,28223) = 796029715