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What is the Least Common Multiple of 9433 and 9447?

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 9433 and 9447 is 89113551.

LCM(9433,9447) = 89113551

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Least Common Multiple of 9433 and 9447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9433 and 9447, than apply into the LCM equation.

GCF(9433,9447) = 1
LCM(9433,9447) = ( 9433 × 9447) / 1
LCM(9433,9447) = 89113551 / 1
LCM(9433,9447) = 89113551

Least Common Multiple (LCM) of 9433 and 9447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9433 and 9447. First we will calculate the prime factors of 9433 and 9447.

Prime Factorization of 9433

Prime factors of 9433 are 9433. Prime factorization of 9433 in exponential form is:

9433 = 94331

Prime Factorization of 9447

Prime factors of 9447 are 3, 47, 67. Prime factorization of 9447 in exponential form is:

9447 = 31 × 471 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 9433 and 9447.

LCM(9433,9447) = 94331 × 31 × 471 × 671
LCM(9433,9447) = 89113551