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What is the Least Common Multiple of 28813 and 28817?

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 28813 and 28817 is 830304221.

LCM(28813,28817) = 830304221

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Least Common Multiple of 28813 and 28817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28813 and 28817, than apply into the LCM equation.

GCF(28813,28817) = 1
LCM(28813,28817) = ( 28813 × 28817) / 1
LCM(28813,28817) = 830304221 / 1
LCM(28813,28817) = 830304221

Least Common Multiple (LCM) of 28813 and 28817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28813 and 28817. First we will calculate the prime factors of 28813 and 28817.

Prime Factorization of 28813

Prime factors of 28813 are 28813. Prime factorization of 28813 in exponential form is:

28813 = 288131

Prime Factorization of 28817

Prime factors of 28817 are 28817. Prime factorization of 28817 in exponential form is:

28817 = 288171

Now multiplying the highest exponent prime factors to calculate the LCM of 28813 and 28817.

LCM(28813,28817) = 288131 × 288171
LCM(28813,28817) = 830304221