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What is the Least Common Multiple of 50859 and 50863?

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 50859 and 50863 is 2586841317.

LCM(50859,50863) = 2586841317

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Least Common Multiple of 50859 and 50863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50859 and 50863, than apply into the LCM equation.

GCF(50859,50863) = 1
LCM(50859,50863) = ( 50859 × 50863) / 1
LCM(50859,50863) = 2586841317 / 1
LCM(50859,50863) = 2586841317

Least Common Multiple (LCM) of 50859 and 50863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50859 and 50863. First we will calculate the prime factors of 50859 and 50863.

Prime Factorization of 50859

Prime factors of 50859 are 3, 5651. Prime factorization of 50859 in exponential form is:

50859 = 32 × 56511

Prime Factorization of 50863

Prime factors of 50863 are 19, 2677. Prime factorization of 50863 in exponential form is:

50863 = 191 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 50859 and 50863.

LCM(50859,50863) = 32 × 56511 × 191 × 26771
LCM(50859,50863) = 2586841317