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What is the Least Common Multiple of 11405 and 11414?

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 11405 and 11414 is 130176670.

LCM(11405,11414) = 130176670

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Least Common Multiple of 11405 and 11414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11405 and 11414, than apply into the LCM equation.

GCF(11405,11414) = 1
LCM(11405,11414) = ( 11405 × 11414) / 1
LCM(11405,11414) = 130176670 / 1
LCM(11405,11414) = 130176670

Least Common Multiple (LCM) of 11405 and 11414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11405 and 11414. First we will calculate the prime factors of 11405 and 11414.

Prime Factorization of 11405

Prime factors of 11405 are 5, 2281. Prime factorization of 11405 in exponential form is:

11405 = 51 × 22811

Prime Factorization of 11414

Prime factors of 11414 are 2, 13, 439. Prime factorization of 11414 in exponential form is:

11414 = 21 × 131 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 11405 and 11414.

LCM(11405,11414) = 51 × 22811 × 21 × 131 × 4391
LCM(11405,11414) = 130176670