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What is the Least Common Multiple of 11406 and 11417?

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 11406 and 11417 is 130222302.

LCM(11406,11417) = 130222302

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Least Common Multiple of 11406 and 11417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11406 and 11417, than apply into the LCM equation.

GCF(11406,11417) = 1
LCM(11406,11417) = ( 11406 × 11417) / 1
LCM(11406,11417) = 130222302 / 1
LCM(11406,11417) = 130222302

Least Common Multiple (LCM) of 11406 and 11417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11406 and 11417. First we will calculate the prime factors of 11406 and 11417.

Prime Factorization of 11406

Prime factors of 11406 are 2, 3, 1901. Prime factorization of 11406 in exponential form is:

11406 = 21 × 31 × 19011

Prime Factorization of 11417

Prime factors of 11417 are 7, 233. Prime factorization of 11417 in exponential form is:

11417 = 72 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 11406 and 11417.

LCM(11406,11417) = 21 × 31 × 19011 × 72 × 2331
LCM(11406,11417) = 130222302