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What is the Least Common Multiple of 29864 and 29873?

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 29864 and 29873 is 892127272.

LCM(29864,29873) = 892127272

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Least Common Multiple of 29864 and 29873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29864 and 29873, than apply into the LCM equation.

GCF(29864,29873) = 1
LCM(29864,29873) = ( 29864 × 29873) / 1
LCM(29864,29873) = 892127272 / 1
LCM(29864,29873) = 892127272

Least Common Multiple (LCM) of 29864 and 29873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29864 and 29873. First we will calculate the prime factors of 29864 and 29873.

Prime Factorization of 29864

Prime factors of 29864 are 2, 3733. Prime factorization of 29864 in exponential form is:

29864 = 23 × 37331

Prime Factorization of 29873

Prime factors of 29873 are 29873. Prime factorization of 29873 in exponential form is:

29873 = 298731

Now multiplying the highest exponent prime factors to calculate the LCM of 29864 and 29873.

LCM(29864,29873) = 23 × 37331 × 298731
LCM(29864,29873) = 892127272