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What is the Least Common Multiple of 9435 and 9441?

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 9435 and 9441 is 29691945.

LCM(9435,9441) = 29691945

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Least Common Multiple of 9435 and 9441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9435 and 9441, than apply into the LCM equation.

GCF(9435,9441) = 3
LCM(9435,9441) = ( 9435 × 9441) / 3
LCM(9435,9441) = 89075835 / 3
LCM(9435,9441) = 29691945

Least Common Multiple (LCM) of 9435 and 9441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9435 and 9441. First we will calculate the prime factors of 9435 and 9441.

Prime Factorization of 9435

Prime factors of 9435 are 3, 5, 17, 37. Prime factorization of 9435 in exponential form is:

9435 = 31 × 51 × 171 × 371

Prime Factorization of 9441

Prime factors of 9441 are 3, 1049. Prime factorization of 9441 in exponential form is:

9441 = 32 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 9435 and 9441.

LCM(9435,9441) = 32 × 51 × 171 × 371 × 10491
LCM(9435,9441) = 29691945