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What is the Least Common Multiple of 11396 and 11401?

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 11396 and 11401 is 129925796.

LCM(11396,11401) = 129925796

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Least Common Multiple of 11396 and 11401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11396 and 11401, than apply into the LCM equation.

GCF(11396,11401) = 1
LCM(11396,11401) = ( 11396 × 11401) / 1
LCM(11396,11401) = 129925796 / 1
LCM(11396,11401) = 129925796

Least Common Multiple (LCM) of 11396 and 11401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11396 and 11401. First we will calculate the prime factors of 11396 and 11401.

Prime Factorization of 11396

Prime factors of 11396 are 2, 7, 11, 37. Prime factorization of 11396 in exponential form is:

11396 = 22 × 71 × 111 × 371

Prime Factorization of 11401

Prime factors of 11401 are 13, 877. Prime factorization of 11401 in exponential form is:

11401 = 131 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 11396 and 11401.

LCM(11396,11401) = 22 × 71 × 111 × 371 × 131 × 8771
LCM(11396,11401) = 129925796