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What is the Least Common Multiple of 28865 and 28873?

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 28865 and 28873 is 833419145.

LCM(28865,28873) = 833419145

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Least Common Multiple of 28865 and 28873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28865 and 28873, than apply into the LCM equation.

GCF(28865,28873) = 1
LCM(28865,28873) = ( 28865 × 28873) / 1
LCM(28865,28873) = 833419145 / 1
LCM(28865,28873) = 833419145

Least Common Multiple (LCM) of 28865 and 28873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28865 and 28873. First we will calculate the prime factors of 28865 and 28873.

Prime Factorization of 28865

Prime factors of 28865 are 5, 23, 251. Prime factorization of 28865 in exponential form is:

28865 = 51 × 231 × 2511

Prime Factorization of 28873

Prime factors of 28873 are 13, 2221. Prime factorization of 28873 in exponential form is:

28873 = 131 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 28865 and 28873.

LCM(28865,28873) = 51 × 231 × 2511 × 131 × 22211
LCM(28865,28873) = 833419145