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What is the Least Common Multiple of 98487 and 98497?

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 98487 and 98497 is 9700674039.

LCM(98487,98497) = 9700674039

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Least Common Multiple of 98487 and 98497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98487 and 98497, than apply into the LCM equation.

GCF(98487,98497) = 1
LCM(98487,98497) = ( 98487 × 98497) / 1
LCM(98487,98497) = 9700674039 / 1
LCM(98487,98497) = 9700674039

Least Common Multiple (LCM) of 98487 and 98497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98487 and 98497. First we will calculate the prime factors of 98487 and 98497.

Prime Factorization of 98487

Prime factors of 98487 are 3, 31, 353. Prime factorization of 98487 in exponential form is:

98487 = 32 × 311 × 3531

Prime Factorization of 98497

Prime factors of 98497 are 7, 14071. Prime factorization of 98497 in exponential form is:

98497 = 71 × 140711

Now multiplying the highest exponent prime factors to calculate the LCM of 98487 and 98497.

LCM(98487,98497) = 32 × 311 × 3531 × 71 × 140711
LCM(98487,98497) = 9700674039