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What is the Least Common Multiple of 95591 and 95602?

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 95591 and 95602 is 9138690782.

LCM(95591,95602) = 9138690782

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Least Common Multiple of 95591 and 95602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95591 and 95602, than apply into the LCM equation.

GCF(95591,95602) = 1
LCM(95591,95602) = ( 95591 × 95602) / 1
LCM(95591,95602) = 9138690782 / 1
LCM(95591,95602) = 9138690782

Least Common Multiple (LCM) of 95591 and 95602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95591 and 95602. First we will calculate the prime factors of 95591 and 95602.

Prime Factorization of 95591

Prime factors of 95591 are 17, 5623. Prime factorization of 95591 in exponential form is:

95591 = 171 × 56231

Prime Factorization of 95602

Prime factors of 95602 are 2, 13, 3677. Prime factorization of 95602 in exponential form is:

95602 = 21 × 131 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 95591 and 95602.

LCM(95591,95602) = 171 × 56231 × 21 × 131 × 36771
LCM(95591,95602) = 9138690782