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What is the Least Common Multiple of 98699 and 98719?

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 98699 and 98719 is 9743466581.

LCM(98699,98719) = 9743466581

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Least Common Multiple of 98699 and 98719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98699 and 98719, than apply into the LCM equation.

GCF(98699,98719) = 1
LCM(98699,98719) = ( 98699 × 98719) / 1
LCM(98699,98719) = 9743466581 / 1
LCM(98699,98719) = 9743466581

Least Common Multiple (LCM) of 98699 and 98719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98699 and 98719. First we will calculate the prime factors of 98699 and 98719.

Prime Factorization of 98699

Prime factors of 98699 are 229, 431. Prime factorization of 98699 in exponential form is:

98699 = 2291 × 4311

Prime Factorization of 98719

Prime factors of 98719 are 17, 5807. Prime factorization of 98719 in exponential form is:

98719 = 171 × 58071

Now multiplying the highest exponent prime factors to calculate the LCM of 98699 and 98719.

LCM(98699,98719) = 2291 × 4311 × 171 × 58071
LCM(98699,98719) = 9743466581