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What is the Least Common Multiple of 28862 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 28862 and 28867 is 833159354.

LCM(28862,28867) = 833159354

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Least Common Multiple of 28862 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 28862 and 28867, than apply into the LCM equation.

GCF(28862,28867) = 1
LCM(28862,28867) = ( 28862 × 28867) / 1
LCM(28862,28867) = 833159354 / 1
LCM(28862,28867) = 833159354

Least Common Multiple (LCM) of 28862 and 28867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28862 and 28867. First we will calculate the prime factors of 28862 and 28867.

Prime Factorization of 28862

Prime factors of 28862 are 2, 14431. Prime factorization of 28862 in exponential form is:

28862 = 21 × 144311

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 28862 and 28867.

LCM(28862,28867) = 21 × 144311 × 288671
LCM(28862,28867) = 833159354