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What is the Least Common Multiple of 99431 and 99447?

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 99431 and 99447 is 9888114657.

LCM(99431,99447) = 9888114657

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Least Common Multiple of 99431 and 99447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99431 and 99447, than apply into the LCM equation.

GCF(99431,99447) = 1
LCM(99431,99447) = ( 99431 × 99447) / 1
LCM(99431,99447) = 9888114657 / 1
LCM(99431,99447) = 9888114657

Least Common Multiple (LCM) of 99431 and 99447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99431 and 99447. First we will calculate the prime factors of 99431 and 99447.

Prime Factorization of 99431

Prime factors of 99431 are 99431. Prime factorization of 99431 in exponential form is:

99431 = 994311

Prime Factorization of 99447

Prime factors of 99447 are 3, 33149. Prime factorization of 99447 in exponential form is:

99447 = 31 × 331491

Now multiplying the highest exponent prime factors to calculate the LCM of 99431 and 99447.

LCM(99431,99447) = 994311 × 31 × 331491
LCM(99431,99447) = 9888114657