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What is the Least Common Multiple of 10239 and 10249?

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 10239 and 10249 is 104939511.

LCM(10239,10249) = 104939511

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Least Common Multiple of 10239 and 10249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10239 and 10249, than apply into the LCM equation.

GCF(10239,10249) = 1
LCM(10239,10249) = ( 10239 × 10249) / 1
LCM(10239,10249) = 104939511 / 1
LCM(10239,10249) = 104939511

Least Common Multiple (LCM) of 10239 and 10249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10239 and 10249. First we will calculate the prime factors of 10239 and 10249.

Prime Factorization of 10239

Prime factors of 10239 are 3, 3413. Prime factorization of 10239 in exponential form is:

10239 = 31 × 34131

Prime Factorization of 10249

Prime factors of 10249 are 37, 277. Prime factorization of 10249 in exponential form is:

10249 = 371 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 10239 and 10249.

LCM(10239,10249) = 31 × 34131 × 371 × 2771
LCM(10239,10249) = 104939511