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What is the Least Common Multiple of 9443 and 9459?

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 9443 and 9459 is 89321337.

LCM(9443,9459) = 89321337

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Least Common Multiple of 9443 and 9459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9443 and 9459, than apply into the LCM equation.

GCF(9443,9459) = 1
LCM(9443,9459) = ( 9443 × 9459) / 1
LCM(9443,9459) = 89321337 / 1
LCM(9443,9459) = 89321337

Least Common Multiple (LCM) of 9443 and 9459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9443 and 9459. First we will calculate the prime factors of 9443 and 9459.

Prime Factorization of 9443

Prime factors of 9443 are 7, 19, 71. Prime factorization of 9443 in exponential form is:

9443 = 71 × 191 × 711

Prime Factorization of 9459

Prime factors of 9459 are 3, 1051. Prime factorization of 9459 in exponential form is:

9459 = 32 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 9443 and 9459.

LCM(9443,9459) = 71 × 191 × 711 × 32 × 10511
LCM(9443,9459) = 89321337