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What is the Least Common Multiple of 50864 and 50873?

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 50864 and 50873 is 2587604272.

LCM(50864,50873) = 2587604272

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Least Common Multiple of 50864 and 50873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50864 and 50873, than apply into the LCM equation.

GCF(50864,50873) = 1
LCM(50864,50873) = ( 50864 × 50873) / 1
LCM(50864,50873) = 2587604272 / 1
LCM(50864,50873) = 2587604272

Least Common Multiple (LCM) of 50864 and 50873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50864 and 50873. First we will calculate the prime factors of 50864 and 50873.

Prime Factorization of 50864

Prime factors of 50864 are 2, 11, 17. Prime factorization of 50864 in exponential form is:

50864 = 24 × 111 × 172

Prime Factorization of 50873

Prime factors of 50873 are 50873. Prime factorization of 50873 in exponential form is:

50873 = 508731

Now multiplying the highest exponent prime factors to calculate the LCM of 50864 and 50873.

LCM(50864,50873) = 24 × 111 × 172 × 508731
LCM(50864,50873) = 2587604272