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What is the Least Common Multiple of 99487 and 99498?

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 99487 and 99498 is 9898757526.

LCM(99487,99498) = 9898757526

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Least Common Multiple of 99487 and 99498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99487 and 99498, than apply into the LCM equation.

GCF(99487,99498) = 1
LCM(99487,99498) = ( 99487 × 99498) / 1
LCM(99487,99498) = 9898757526 / 1
LCM(99487,99498) = 9898757526

Least Common Multiple (LCM) of 99487 and 99498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99487 and 99498. First we will calculate the prime factors of 99487 and 99498.

Prime Factorization of 99487

Prime factors of 99487 are 99487. Prime factorization of 99487 in exponential form is:

99487 = 994871

Prime Factorization of 99498

Prime factors of 99498 are 2, 3, 7, 23, 103. Prime factorization of 99498 in exponential form is:

99498 = 21 × 31 × 71 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 99487 and 99498.

LCM(99487,99498) = 994871 × 21 × 31 × 71 × 231 × 1031
LCM(99487,99498) = 9898757526