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What is the Least Common Multiple of 5129 and 5134?

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 5129 and 5134 is 26332286.

LCM(5129,5134) = 26332286

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Least Common Multiple of 5129 and 5134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5129 and 5134, than apply into the LCM equation.

GCF(5129,5134) = 1
LCM(5129,5134) = ( 5129 × 5134) / 1
LCM(5129,5134) = 26332286 / 1
LCM(5129,5134) = 26332286

Least Common Multiple (LCM) of 5129 and 5134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5129 and 5134. First we will calculate the prime factors of 5129 and 5134.

Prime Factorization of 5129

Prime factors of 5129 are 23, 223. Prime factorization of 5129 in exponential form is:

5129 = 231 × 2231

Prime Factorization of 5134

Prime factors of 5134 are 2, 17, 151. Prime factorization of 5134 in exponential form is:

5134 = 21 × 171 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5129 and 5134.

LCM(5129,5134) = 231 × 2231 × 21 × 171 × 1511
LCM(5129,5134) = 26332286