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What is the Least Common Multiple of 95639 and 95653?

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 95639 and 95653 is 9148157267.

LCM(95639,95653) = 9148157267

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Least Common Multiple of 95639 and 95653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95639 and 95653, than apply into the LCM equation.

GCF(95639,95653) = 1
LCM(95639,95653) = ( 95639 × 95653) / 1
LCM(95639,95653) = 9148157267 / 1
LCM(95639,95653) = 9148157267

Least Common Multiple (LCM) of 95639 and 95653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95639 and 95653. First we will calculate the prime factors of 95639 and 95653.

Prime Factorization of 95639

Prime factors of 95639 are 59, 1621. Prime factorization of 95639 in exponential form is:

95639 = 591 × 16211

Prime Factorization of 95653

Prime factors of 95653 are 41, 2333. Prime factorization of 95653 in exponential form is:

95653 = 411 × 23331

Now multiplying the highest exponent prime factors to calculate the LCM of 95639 and 95653.

LCM(95639,95653) = 591 × 16211 × 411 × 23331
LCM(95639,95653) = 9148157267