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What is the Least Common Multiple of 98482 and 98487?

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 98482 and 98487 is 9699196734.

LCM(98482,98487) = 9699196734

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Least Common Multiple of 98482 and 98487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98482 and 98487, than apply into the LCM equation.

GCF(98482,98487) = 1
LCM(98482,98487) = ( 98482 × 98487) / 1
LCM(98482,98487) = 9699196734 / 1
LCM(98482,98487) = 9699196734

Least Common Multiple (LCM) of 98482 and 98487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98482 and 98487. First we will calculate the prime factors of 98482 and 98487.

Prime Factorization of 98482

Prime factors of 98482 are 2, 41, 1201. Prime factorization of 98482 in exponential form is:

98482 = 21 × 411 × 12011

Prime Factorization of 98487

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

98487 = 32 × 311 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 98482 and 98487.

LCM(98482,98487) = 21 × 411 × 12011 × 32 × 311 × 3531
LCM(98482,98487) = 9699196734