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What is the Least Common Multiple of 95819 and 95835?

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 95819 and 95835 is 9182813865.

LCM(95819,95835) = 9182813865

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Least Common Multiple of 95819 and 95835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95819 and 95835, than apply into the LCM equation.

GCF(95819,95835) = 1
LCM(95819,95835) = ( 95819 × 95835) / 1
LCM(95819,95835) = 9182813865 / 1
LCM(95819,95835) = 9182813865

Least Common Multiple (LCM) of 95819 and 95835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95819 and 95835. First we will calculate the prime factors of 95819 and 95835.

Prime Factorization of 95819

Prime factors of 95819 are 95819. Prime factorization of 95819 in exponential form is:

95819 = 958191

Prime Factorization of 95835

Prime factors of 95835 are 3, 5, 6389. Prime factorization of 95835 in exponential form is:

95835 = 31 × 51 × 63891

Now multiplying the highest exponent prime factors to calculate the LCM of 95819 and 95835.

LCM(95819,95835) = 958191 × 31 × 51 × 63891
LCM(95819,95835) = 9182813865