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What is the Least Common Multiple of 11540 and 11547?

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 11540 and 11547 is 133252380.

LCM(11540,11547) = 133252380

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Least Common Multiple of 11540 and 11547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11540 and 11547, than apply into the LCM equation.

GCF(11540,11547) = 1
LCM(11540,11547) = ( 11540 × 11547) / 1
LCM(11540,11547) = 133252380 / 1
LCM(11540,11547) = 133252380

Least Common Multiple (LCM) of 11540 and 11547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11540 and 11547. First we will calculate the prime factors of 11540 and 11547.

Prime Factorization of 11540

Prime factors of 11540 are 2, 5, 577. Prime factorization of 11540 in exponential form is:

11540 = 22 × 51 × 5771

Prime Factorization of 11547

Prime factors of 11547 are 3, 1283. Prime factorization of 11547 in exponential form is:

11547 = 32 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 11540 and 11547.

LCM(11540,11547) = 22 × 51 × 5771 × 32 × 12831
LCM(11540,11547) = 133252380