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What is the Least Common Multiple of 12441 and 12453?

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 12441 and 12453 is 51642591.

LCM(12441,12453) = 51642591

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Least Common Multiple of 12441 and 12453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12441 and 12453, than apply into the LCM equation.

GCF(12441,12453) = 3
LCM(12441,12453) = ( 12441 × 12453) / 3
LCM(12441,12453) = 154927773 / 3
LCM(12441,12453) = 51642591

Least Common Multiple (LCM) of 12441 and 12453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12441 and 12453. First we will calculate the prime factors of 12441 and 12453.

Prime Factorization of 12441

Prime factors of 12441 are 3, 11, 13, 29. Prime factorization of 12441 in exponential form is:

12441 = 31 × 111 × 131 × 291

Prime Factorization of 12453

Prime factors of 12453 are 3, 7, 593. Prime factorization of 12453 in exponential form is:

12453 = 31 × 71 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 12441 and 12453.

LCM(12441,12453) = 31 × 111 × 131 × 291 × 71 × 5931
LCM(12441,12453) = 51642591