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What is the Least Common Multiple of 95289 and 95297?

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 95289 and 95297 is 9080755833.

LCM(95289,95297) = 9080755833

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Least Common Multiple of 95289 and 95297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95289 and 95297, than apply into the LCM equation.

GCF(95289,95297) = 1
LCM(95289,95297) = ( 95289 × 95297) / 1
LCM(95289,95297) = 9080755833 / 1
LCM(95289,95297) = 9080755833

Least Common Multiple (LCM) of 95289 and 95297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95289 and 95297. First we will calculate the prime factors of 95289 and 95297.

Prime Factorization of 95289

Prime factors of 95289 are 3, 23, 1381. Prime factorization of 95289 in exponential form is:

95289 = 31 × 231 × 13811

Prime Factorization of 95297

Prime factors of 95297 are 233, 409. Prime factorization of 95297 in exponential form is:

95297 = 2331 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 95289 and 95297.

LCM(95289,95297) = 31 × 231 × 13811 × 2331 × 4091
LCM(95289,95297) = 9080755833