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What is the Least Common Multiple of 9588 and 9602?

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 9588 and 9602 is 46031988.

LCM(9588,9602) = 46031988

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Least Common Multiple of 9588 and 9602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9588 and 9602, than apply into the LCM equation.

GCF(9588,9602) = 2
LCM(9588,9602) = ( 9588 × 9602) / 2
LCM(9588,9602) = 92063976 / 2
LCM(9588,9602) = 46031988

Least Common Multiple (LCM) of 9588 and 9602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9588 and 9602. First we will calculate the prime factors of 9588 and 9602.

Prime Factorization of 9588

Prime factors of 9588 are 2, 3, 17, 47. Prime factorization of 9588 in exponential form is:

9588 = 22 × 31 × 171 × 471

Prime Factorization of 9602

Prime factors of 9602 are 2, 4801. Prime factorization of 9602 in exponential form is:

9602 = 21 × 48011

Now multiplying the highest exponent prime factors to calculate the LCM of 9588 and 9602.

LCM(9588,9602) = 22 × 31 × 171 × 471 × 48011
LCM(9588,9602) = 46031988