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What is the Least Common Multiple of 28855 and 28867?

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 28855 and 28867 is 832957285.

LCM(28855,28867) = 832957285

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Least Common Multiple of 28855 and 28867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28855 and 28867, than apply into the LCM equation.

GCF(28855,28867) = 1
LCM(28855,28867) = ( 28855 × 28867) / 1
LCM(28855,28867) = 832957285 / 1
LCM(28855,28867) = 832957285

Least Common Multiple (LCM) of 28855 and 28867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28855 and 28867. First we will calculate the prime factors of 28855 and 28867.

Prime Factorization of 28855

Prime factors of 28855 are 5, 29, 199. Prime factorization of 28855 in exponential form is:

28855 = 51 × 291 × 1991

Prime Factorization of 28867

Prime factors of 28867 are 28867. Prime factorization of 28867 in exponential form is:

28867 = 288671

Now multiplying the highest exponent prime factors to calculate the LCM of 28855 and 28867.

LCM(28855,28867) = 51 × 291 × 1991 × 288671
LCM(28855,28867) = 832957285