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What is the Least Common Multiple of 9643 and 9647?

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 9643 and 9647 is 93026021.

LCM(9643,9647) = 93026021

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Least Common Multiple of 9643 and 9647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9643 and 9647, than apply into the LCM equation.

GCF(9643,9647) = 1
LCM(9643,9647) = ( 9643 × 9647) / 1
LCM(9643,9647) = 93026021 / 1
LCM(9643,9647) = 93026021

Least Common Multiple (LCM) of 9643 and 9647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9643 and 9647. First we will calculate the prime factors of 9643 and 9647.

Prime Factorization of 9643

Prime factors of 9643 are 9643. Prime factorization of 9643 in exponential form is:

9643 = 96431

Prime Factorization of 9647

Prime factors of 9647 are 11, 877. Prime factorization of 9647 in exponential form is:

9647 = 111 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 9643 and 9647.

LCM(9643,9647) = 96431 × 111 × 8771
LCM(9643,9647) = 93026021