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What is the Least Common Multiple of 11416 and 11429?

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 11416 and 11429 is 130473464.

LCM(11416,11429) = 130473464

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Least Common Multiple of 11416 and 11429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11416 and 11429, than apply into the LCM equation.

GCF(11416,11429) = 1
LCM(11416,11429) = ( 11416 × 11429) / 1
LCM(11416,11429) = 130473464 / 1
LCM(11416,11429) = 130473464

Least Common Multiple (LCM) of 11416 and 11429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11416 and 11429. First we will calculate the prime factors of 11416 and 11429.

Prime Factorization of 11416

Prime factors of 11416 are 2, 1427. Prime factorization of 11416 in exponential form is:

11416 = 23 × 14271

Prime Factorization of 11429

Prime factors of 11429 are 11, 1039. Prime factorization of 11429 in exponential form is:

11429 = 111 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 11416 and 11429.

LCM(11416,11429) = 23 × 14271 × 111 × 10391
LCM(11416,11429) = 130473464