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What is the Least Common Multiple of 95834 and 95845?

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 95834 and 95845 is 9185209730.

LCM(95834,95845) = 9185209730

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Least Common Multiple of 95834 and 95845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95834 and 95845, than apply into the LCM equation.

GCF(95834,95845) = 1
LCM(95834,95845) = ( 95834 × 95845) / 1
LCM(95834,95845) = 9185209730 / 1
LCM(95834,95845) = 9185209730

Least Common Multiple (LCM) of 95834 and 95845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95834 and 95845. First we will calculate the prime factors of 95834 and 95845.

Prime Factorization of 95834

Prime factors of 95834 are 2, 47917. Prime factorization of 95834 in exponential form is:

95834 = 21 × 479171

Prime Factorization of 95845

Prime factors of 95845 are 5, 29, 661. Prime factorization of 95845 in exponential form is:

95845 = 51 × 291 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 95834 and 95845.

LCM(95834,95845) = 21 × 479171 × 51 × 291 × 6611
LCM(95834,95845) = 9185209730