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What is the Least Common Multiple of 92487 and 92498?

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 92487 and 92498 is 8554862526.

LCM(92487,92498) = 8554862526

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Least Common Multiple of 92487 and 92498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92487 and 92498, than apply into the LCM equation.

GCF(92487,92498) = 1
LCM(92487,92498) = ( 92487 × 92498) / 1
LCM(92487,92498) = 8554862526 / 1
LCM(92487,92498) = 8554862526

Least Common Multiple (LCM) of 92487 and 92498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92487 and 92498. First we will calculate the prime factors of 92487 and 92498.

Prime Factorization of 92487

Prime factors of 92487 are 3, 30829. Prime factorization of 92487 in exponential form is:

92487 = 31 × 308291

Prime Factorization of 92498

Prime factors of 92498 are 2, 7, 6607. Prime factorization of 92498 in exponential form is:

92498 = 21 × 71 × 66071

Now multiplying the highest exponent prime factors to calculate the LCM of 92487 and 92498.

LCM(92487,92498) = 31 × 308291 × 21 × 71 × 66071
LCM(92487,92498) = 8554862526