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What is the Least Common Multiple of 95595 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 95595 and 95602 is 9139073190.

LCM(95595,95602) = 9139073190

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Least Common Multiple of 95595 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 95595 and 95602, than apply into the LCM equation.

GCF(95595,95602) = 1
LCM(95595,95602) = ( 95595 × 95602) / 1
LCM(95595,95602) = 9139073190 / 1
LCM(95595,95602) = 9139073190

Least Common Multiple (LCM) of 95595 and 95602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95595 and 95602. First we will calculate the prime factors of 95595 and 95602.

Prime Factorization of 95595

Prime factors of 95595 are 3, 5, 6373. Prime factorization of 95595 in exponential form is:

95595 = 31 × 51 × 63731

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 95595 and 95602.

LCM(95595,95602) = 31 × 51 × 63731 × 21 × 131 × 36771
LCM(95595,95602) = 9139073190