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What is the Least Common Multiple of 11459 and 11471?

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 11459 and 11471 is 131446189.

LCM(11459,11471) = 131446189

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Least Common Multiple of 11459 and 11471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11459 and 11471, than apply into the LCM equation.

GCF(11459,11471) = 1
LCM(11459,11471) = ( 11459 × 11471) / 1
LCM(11459,11471) = 131446189 / 1
LCM(11459,11471) = 131446189

Least Common Multiple (LCM) of 11459 and 11471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11459 and 11471. First we will calculate the prime factors of 11459 and 11471.

Prime Factorization of 11459

Prime factors of 11459 are 7, 1637. Prime factorization of 11459 in exponential form is:

11459 = 71 × 16371

Prime Factorization of 11471

Prime factors of 11471 are 11471. Prime factorization of 11471 in exponential form is:

11471 = 114711

Now multiplying the highest exponent prime factors to calculate the LCM of 11459 and 11471.

LCM(11459,11471) = 71 × 16371 × 114711
LCM(11459,11471) = 131446189