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What is the Least Common Multiple of 95917 and 95929?

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 95917 and 95929 is 9201221893.

LCM(95917,95929) = 9201221893

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Least Common Multiple of 95917 and 95929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95917 and 95929, than apply into the LCM equation.

GCF(95917,95929) = 1
LCM(95917,95929) = ( 95917 × 95929) / 1
LCM(95917,95929) = 9201221893 / 1
LCM(95917,95929) = 9201221893

Least Common Multiple (LCM) of 95917 and 95929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95917 and 95929. First we will calculate the prime factors of 95917 and 95929.

Prime Factorization of 95917

Prime factors of 95917 are 95917. Prime factorization of 95917 in exponential form is:

95917 = 959171

Prime Factorization of 95929

Prime factors of 95929 are 95929. Prime factorization of 95929 in exponential form is:

95929 = 959291

Now multiplying the highest exponent prime factors to calculate the LCM of 95917 and 95929.

LCM(95917,95929) = 959171 × 959291
LCM(95917,95929) = 9201221893