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What is the Least Common Multiple of 11129 and 11134?

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 11129 and 11134 is 123910286.

LCM(11129,11134) = 123910286

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Least Common Multiple of 11129 and 11134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11129 and 11134, than apply into the LCM equation.

GCF(11129,11134) = 1
LCM(11129,11134) = ( 11129 × 11134) / 1
LCM(11129,11134) = 123910286 / 1
LCM(11129,11134) = 123910286

Least Common Multiple (LCM) of 11129 and 11134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11129 and 11134. First we will calculate the prime factors of 11129 and 11134.

Prime Factorization of 11129

Prime factors of 11129 are 31, 359. Prime factorization of 11129 in exponential form is:

11129 = 311 × 3591

Prime Factorization of 11134

Prime factors of 11134 are 2, 19, 293. Prime factorization of 11134 in exponential form is:

11134 = 21 × 191 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 11129 and 11134.

LCM(11129,11134) = 311 × 3591 × 21 × 191 × 2931
LCM(11129,11134) = 123910286