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What is the Least Common Multiple of 96598 and 96609?

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 96598 and 96609 is 9332236182.

LCM(96598,96609) = 9332236182

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Least Common Multiple of 96598 and 96609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96598 and 96609, than apply into the LCM equation.

GCF(96598,96609) = 1
LCM(96598,96609) = ( 96598 × 96609) / 1
LCM(96598,96609) = 9332236182 / 1
LCM(96598,96609) = 9332236182

Least Common Multiple (LCM) of 96598 and 96609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96598 and 96609. First we will calculate the prime factors of 96598 and 96609.

Prime Factorization of 96598

Prime factors of 96598 are 2, 48299. Prime factorization of 96598 in exponential form is:

96598 = 21 × 482991

Prime Factorization of 96609

Prime factors of 96609 are 3, 32203. Prime factorization of 96609 in exponential form is:

96609 = 31 × 322031

Now multiplying the highest exponent prime factors to calculate the LCM of 96598 and 96609.

LCM(96598,96609) = 21 × 482991 × 31 × 322031
LCM(96598,96609) = 9332236182