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What is the Least Common Multiple of 11239 and 11248?

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 11239 and 11248 is 126416272.

LCM(11239,11248) = 126416272

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Least Common Multiple of 11239 and 11248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11239 and 11248, than apply into the LCM equation.

GCF(11239,11248) = 1
LCM(11239,11248) = ( 11239 × 11248) / 1
LCM(11239,11248) = 126416272 / 1
LCM(11239,11248) = 126416272

Least Common Multiple (LCM) of 11239 and 11248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11239 and 11248. First we will calculate the prime factors of 11239 and 11248.

Prime Factorization of 11239

Prime factors of 11239 are 11239. Prime factorization of 11239 in exponential form is:

11239 = 112391

Prime Factorization of 11248

Prime factors of 11248 are 2, 19, 37. Prime factorization of 11248 in exponential form is:

11248 = 24 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 11239 and 11248.

LCM(11239,11248) = 112391 × 24 × 191 × 371
LCM(11239,11248) = 126416272