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What is the Least Common Multiple of 9441 and 9453?

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 9441 and 9453 is 29748591.

LCM(9441,9453) = 29748591

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Least Common Multiple of 9441 and 9453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9441 and 9453, than apply into the LCM equation.

GCF(9441,9453) = 3
LCM(9441,9453) = ( 9441 × 9453) / 3
LCM(9441,9453) = 89245773 / 3
LCM(9441,9453) = 29748591

Least Common Multiple (LCM) of 9441 and 9453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9441 and 9453. First we will calculate the prime factors of 9441 and 9453.

Prime Factorization of 9441

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

9441 = 32 × 10491

Prime Factorization of 9453

Prime factors of 9453 are 3, 23, 137. Prime factorization of 9453 in exponential form is:

9453 = 31 × 231 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9441 and 9453.

LCM(9441,9453) = 32 × 10491 × 231 × 1371
LCM(9441,9453) = 29748591