What is the Least Common Multiple of 50851 and 50865?
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 50851 and 50865 is 2586536115.
LCM(50851,50865) = 2586536115
Least Common Multiple of 50851 and 50865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50851 and 50865, than apply into the LCM equation.
GCF(50851,50865) = 1
LCM(50851,50865) = ( 50851 × 50865) / 1
LCM(50851,50865) = 2586536115 / 1
LCM(50851,50865) = 2586536115
Least Common Multiple (LCM) of 50851 and 50865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50851 and 50865. First we will calculate the prime factors of 50851 and 50865.
Prime Factorization of 50851
Prime factors of 50851 are 211, 241. Prime factorization of 50851 in exponential form is:
50851 = 2111 × 2411
Prime Factorization of 50865
Prime factors of 50865 are 3, 5, 3391. Prime factorization of 50865 in exponential form is:
50865 = 31 × 51 × 33911
Now multiplying the highest exponent prime factors to calculate the LCM of 50851 and 50865.
LCM(50851,50865) = 2111 × 2411 × 31 × 51 × 33911
LCM(50851,50865) = 2586536115
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