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What is the Least Common Multiple of 95239 and 95245?

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 95239 and 95245 is 9071038555.

LCM(95239,95245) = 9071038555

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Least Common Multiple of 95239 and 95245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95239 and 95245, than apply into the LCM equation.

GCF(95239,95245) = 1
LCM(95239,95245) = ( 95239 × 95245) / 1
LCM(95239,95245) = 9071038555 / 1
LCM(95239,95245) = 9071038555

Least Common Multiple (LCM) of 95239 and 95245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95239 and 95245. First we will calculate the prime factors of 95239 and 95245.

Prime Factorization of 95239

Prime factors of 95239 are 95239. Prime factorization of 95239 in exponential form is:

95239 = 952391

Prime Factorization of 95245

Prime factors of 95245 are 5, 43, 443. Prime factorization of 95245 in exponential form is:

95245 = 51 × 431 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 95239 and 95245.

LCM(95239,95245) = 952391 × 51 × 431 × 4431
LCM(95239,95245) = 9071038555