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What is the Least Common Multiple of 98419 and 98431?

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 98419 and 98431 is 9687480589.

LCM(98419,98431) = 9687480589

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Least Common Multiple of 98419 and 98431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98419 and 98431, than apply into the LCM equation.

GCF(98419,98431) = 1
LCM(98419,98431) = ( 98419 × 98431) / 1
LCM(98419,98431) = 9687480589 / 1
LCM(98419,98431) = 9687480589

Least Common Multiple (LCM) of 98419 and 98431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98419 and 98431. First we will calculate the prime factors of 98419 and 98431.

Prime Factorization of 98419

Prime factors of 98419 are 98419. Prime factorization of 98419 in exponential form is:

98419 = 984191

Prime Factorization of 98431

Prime factors of 98431 are 257, 383. Prime factorization of 98431 in exponential form is:

98431 = 2571 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 98419 and 98431.

LCM(98419,98431) = 984191 × 2571 × 3831
LCM(98419,98431) = 9687480589