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What is the Least Common Multiple of 9287 and 9298?

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 9287 and 9298 is 86350526.

LCM(9287,9298) = 86350526

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Least Common Multiple of 9287 and 9298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9287 and 9298, than apply into the LCM equation.

GCF(9287,9298) = 1
LCM(9287,9298) = ( 9287 × 9298) / 1
LCM(9287,9298) = 86350526 / 1
LCM(9287,9298) = 86350526

Least Common Multiple (LCM) of 9287 and 9298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9287 and 9298. First we will calculate the prime factors of 9287 and 9298.

Prime Factorization of 9287

Prime factors of 9287 are 37, 251. Prime factorization of 9287 in exponential form is:

9287 = 371 × 2511

Prime Factorization of 9298

Prime factors of 9298 are 2, 4649. Prime factorization of 9298 in exponential form is:

9298 = 21 × 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 9287 and 9298.

LCM(9287,9298) = 371 × 2511 × 21 × 46491
LCM(9287,9298) = 86350526