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What is the Least Common Multiple of 95602 and 95613?

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 95602 and 95613 is 9140794026.

LCM(95602,95613) = 9140794026

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Least Common Multiple of 95602 and 95613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95602 and 95613, than apply into the LCM equation.

GCF(95602,95613) = 1
LCM(95602,95613) = ( 95602 × 95613) / 1
LCM(95602,95613) = 9140794026 / 1
LCM(95602,95613) = 9140794026

Least Common Multiple (LCM) of 95602 and 95613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95602 and 95613. First we will calculate the prime factors of 95602 and 95613.

Prime Factorization of 95602

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

95602 = 21 × 131 × 36771

Prime Factorization of 95613

Prime factors of 95613 are 3, 7, 29, 157. Prime factorization of 95613 in exponential form is:

95613 = 31 × 71 × 291 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 95602 and 95613.

LCM(95602,95613) = 21 × 131 × 36771 × 31 × 71 × 291 × 1571
LCM(95602,95613) = 9140794026