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What is the Least Common Multiple of 11240 and 11247?

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 11240 and 11247 is 126416280.

LCM(11240,11247) = 126416280

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Least Common Multiple of 11240 and 11247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11240 and 11247, than apply into the LCM equation.

GCF(11240,11247) = 1
LCM(11240,11247) = ( 11240 × 11247) / 1
LCM(11240,11247) = 126416280 / 1
LCM(11240,11247) = 126416280

Least Common Multiple (LCM) of 11240 and 11247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11240 and 11247. First we will calculate the prime factors of 11240 and 11247.

Prime Factorization of 11240

Prime factors of 11240 are 2, 5, 281. Prime factorization of 11240 in exponential form is:

11240 = 23 × 51 × 2811

Prime Factorization of 11247

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

11247 = 31 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 11240 and 11247.

LCM(11240,11247) = 23 × 51 × 2811 × 31 × 231 × 1631
LCM(11240,11247) = 126416280