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What is the Least Common Multiple of 96287 and 96297?

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 96287 and 96297 is 9272149239.

LCM(96287,96297) = 9272149239

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Least Common Multiple of 96287 and 96297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96287 and 96297, than apply into the LCM equation.

GCF(96287,96297) = 1
LCM(96287,96297) = ( 96287 × 96297) / 1
LCM(96287,96297) = 9272149239 / 1
LCM(96287,96297) = 9272149239

Least Common Multiple (LCM) of 96287 and 96297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96287 and 96297. First we will calculate the prime factors of 96287 and 96297.

Prime Factorization of 96287

Prime factors of 96287 are 73, 1319. Prime factorization of 96287 in exponential form is:

96287 = 731 × 13191

Prime Factorization of 96297

Prime factors of 96297 are 3, 32099. Prime factorization of 96297 in exponential form is:

96297 = 31 × 320991

Now multiplying the highest exponent prime factors to calculate the LCM of 96287 and 96297.

LCM(96287,96297) = 731 × 13191 × 31 × 320991
LCM(96287,96297) = 9272149239