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What is the Least Common Multiple of 50831 and 50851?

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 50831 and 50851 is 2584807181.

LCM(50831,50851) = 2584807181

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Least Common Multiple of 50831 and 50851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50831 and 50851, than apply into the LCM equation.

GCF(50831,50851) = 1
LCM(50831,50851) = ( 50831 × 50851) / 1
LCM(50831,50851) = 2584807181 / 1
LCM(50831,50851) = 2584807181

Least Common Multiple (LCM) of 50831 and 50851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50831 and 50851. First we will calculate the prime factors of 50831 and 50851.

Prime Factorization of 50831

Prime factors of 50831 are 11, 4621. Prime factorization of 50831 in exponential form is:

50831 = 111 × 46211

Prime Factorization of 50851

Prime factors of 50851 are 211, 241. Prime factorization of 50851 in exponential form is:

50851 = 2111 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 50831 and 50851.

LCM(50831,50851) = 111 × 46211 × 2111 × 2411
LCM(50831,50851) = 2584807181