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What is the Least Common Multiple of 10115 and 10134?

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 10115 and 10134 is 102505410.

LCM(10115,10134) = 102505410

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Least Common Multiple of 10115 and 10134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10115 and 10134, than apply into the LCM equation.

GCF(10115,10134) = 1
LCM(10115,10134) = ( 10115 × 10134) / 1
LCM(10115,10134) = 102505410 / 1
LCM(10115,10134) = 102505410

Least Common Multiple (LCM) of 10115 and 10134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10115 and 10134. First we will calculate the prime factors of 10115 and 10134.

Prime Factorization of 10115

Prime factors of 10115 are 5, 7, 17. Prime factorization of 10115 in exponential form is:

10115 = 51 × 71 × 172

Prime Factorization of 10134

Prime factors of 10134 are 2, 3, 563. Prime factorization of 10134 in exponential form is:

10134 = 21 × 32 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 10115 and 10134.

LCM(10115,10134) = 51 × 71 × 172 × 21 × 32 × 5631
LCM(10115,10134) = 102505410