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What is the Least Common Multiple of 9432 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 9432 and 9441 is 9894168.

LCM(9432,9441) = 9894168

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Least Common Multiple of 9432 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 9432 and 9441, than apply into the LCM equation.

GCF(9432,9441) = 9
LCM(9432,9441) = ( 9432 × 9441) / 9
LCM(9432,9441) = 89047512 / 9
LCM(9432,9441) = 9894168

Least Common Multiple (LCM) of 9432 and 9441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9432 and 9441. First we will calculate the prime factors of 9432 and 9441.

Prime Factorization of 9432

Prime factors of 9432 are 2, 3, 131. Prime factorization of 9432 in exponential form is:

9432 = 23 × 32 × 1311

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 9432 and 9441.

LCM(9432,9441) = 23 × 32 × 1311 × 10491
LCM(9432,9441) = 9894168