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What is the Least Common Multiple of 12436 and 12441?

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 12436 and 12441 is 154716276.

LCM(12436,12441) = 154716276

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Least Common Multiple of 12436 and 12441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12436 and 12441, than apply into the LCM equation.

GCF(12436,12441) = 1
LCM(12436,12441) = ( 12436 × 12441) / 1
LCM(12436,12441) = 154716276 / 1
LCM(12436,12441) = 154716276

Least Common Multiple (LCM) of 12436 and 12441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12436 and 12441. First we will calculate the prime factors of 12436 and 12441.

Prime Factorization of 12436

Prime factors of 12436 are 2, 3109. Prime factorization of 12436 in exponential form is:

12436 = 22 × 31091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12436 and 12441.

LCM(12436,12441) = 22 × 31091 × 31 × 111 × 131 × 291
LCM(12436,12441) = 154716276