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What is the Least Common Multiple of 11281 and 11289?

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 11281 and 11289 is 127351209.

LCM(11281,11289) = 127351209

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Least Common Multiple of 11281 and 11289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11281 and 11289, than apply into the LCM equation.

GCF(11281,11289) = 1
LCM(11281,11289) = ( 11281 × 11289) / 1
LCM(11281,11289) = 127351209 / 1
LCM(11281,11289) = 127351209

Least Common Multiple (LCM) of 11281 and 11289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11281 and 11289. First we will calculate the prime factors of 11281 and 11289.

Prime Factorization of 11281

Prime factors of 11281 are 29, 389. Prime factorization of 11281 in exponential form is:

11281 = 291 × 3891

Prime Factorization of 11289

Prime factors of 11289 are 3, 53, 71. Prime factorization of 11289 in exponential form is:

11289 = 31 × 531 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 11281 and 11289.

LCM(11281,11289) = 291 × 3891 × 31 × 531 × 711
LCM(11281,11289) = 127351209