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What is the Least Common Multiple of 11247 and 11255?

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 11247 and 11255 is 126584985.

LCM(11247,11255) = 126584985

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Least Common Multiple of 11247 and 11255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11247 and 11255, than apply into the LCM equation.

GCF(11247,11255) = 1
LCM(11247,11255) = ( 11247 × 11255) / 1
LCM(11247,11255) = 126584985 / 1
LCM(11247,11255) = 126584985

Least Common Multiple (LCM) of 11247 and 11255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11247 and 11255. First we will calculate the prime factors of 11247 and 11255.

Prime Factorization of 11247

Prime factors of 11247 are 3, 23, 163. Prime factorization of 11247 in exponential form is:

11247 = 31 × 231 × 1631

Prime Factorization of 11255

Prime factors of 11255 are 5, 2251. Prime factorization of 11255 in exponential form is:

11255 = 51 × 22511

Now multiplying the highest exponent prime factors to calculate the LCM of 11247 and 11255.

LCM(11247,11255) = 31 × 231 × 1631 × 51 × 22511
LCM(11247,11255) = 126584985