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What is the Least Common Multiple of 98593 and 98599?

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 98593 and 98599 is 9721171207.

LCM(98593,98599) = 9721171207

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Least Common Multiple of 98593 and 98599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98593 and 98599, than apply into the LCM equation.

GCF(98593,98599) = 1
LCM(98593,98599) = ( 98593 × 98599) / 1
LCM(98593,98599) = 9721171207 / 1
LCM(98593,98599) = 9721171207

Least Common Multiple (LCM) of 98593 and 98599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98593 and 98599. First we will calculate the prime factors of 98593 and 98599.

Prime Factorization of 98593

Prime factors of 98593 are 11, 8963. Prime factorization of 98593 in exponential form is:

98593 = 111 × 89631

Prime Factorization of 98599

Prime factors of 98599 are 43, 2293. Prime factorization of 98599 in exponential form is:

98599 = 431 × 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 98593 and 98599.

LCM(98593,98599) = 111 × 89631 × 431 × 22931
LCM(98593,98599) = 9721171207