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What is the Least Common Multiple of 99563 and 99569?

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 99563 and 99569 is 9913388347.

LCM(99563,99569) = 9913388347

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Least Common Multiple of 99563 and 99569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99563 and 99569, than apply into the LCM equation.

GCF(99563,99569) = 1
LCM(99563,99569) = ( 99563 × 99569) / 1
LCM(99563,99569) = 9913388347 / 1
LCM(99563,99569) = 9913388347

Least Common Multiple (LCM) of 99563 and 99569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99563 and 99569. First we will calculate the prime factors of 99563 and 99569.

Prime Factorization of 99563

Prime factors of 99563 are 99563. Prime factorization of 99563 in exponential form is:

99563 = 995631

Prime Factorization of 99569

Prime factors of 99569 are 17, 5857. Prime factorization of 99569 in exponential form is:

99569 = 171 × 58571

Now multiplying the highest exponent prime factors to calculate the LCM of 99563 and 99569.

LCM(99563,99569) = 995631 × 171 × 58571
LCM(99563,99569) = 9913388347