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What is the Least Common Multiple of 28873 and 28881?

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 28873 and 28881 is 833881113.

LCM(28873,28881) = 833881113

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Least Common Multiple of 28873 and 28881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28873 and 28881, than apply into the LCM equation.

GCF(28873,28881) = 1
LCM(28873,28881) = ( 28873 × 28881) / 1
LCM(28873,28881) = 833881113 / 1
LCM(28873,28881) = 833881113

Least Common Multiple (LCM) of 28873 and 28881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28873 and 28881. First we will calculate the prime factors of 28873 and 28881.

Prime Factorization of 28873

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

28873 = 131 × 22211

Prime Factorization of 28881

Prime factors of 28881 are 3, 3209. Prime factorization of 28881 in exponential form is:

28881 = 32 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 28873 and 28881.

LCM(28873,28881) = 131 × 22211 × 32 × 32091
LCM(28873,28881) = 833881113