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What is the Least Common Multiple of 11557 and 11568?

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 11557 and 11568 is 133691376.

LCM(11557,11568) = 133691376

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Least Common Multiple of 11557 and 11568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11557 and 11568, than apply into the LCM equation.

GCF(11557,11568) = 1
LCM(11557,11568) = ( 11557 × 11568) / 1
LCM(11557,11568) = 133691376 / 1
LCM(11557,11568) = 133691376

Least Common Multiple (LCM) of 11557 and 11568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11557 and 11568. First we will calculate the prime factors of 11557 and 11568.

Prime Factorization of 11557

Prime factors of 11557 are 7, 13, 127. Prime factorization of 11557 in exponential form is:

11557 = 71 × 131 × 1271

Prime Factorization of 11568

Prime factors of 11568 are 2, 3, 241. Prime factorization of 11568 in exponential form is:

11568 = 24 × 31 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 11557 and 11568.

LCM(11557,11568) = 71 × 131 × 1271 × 24 × 31 × 2411
LCM(11557,11568) = 133691376