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What is the Least Common Multiple of 11557 and 11566?

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 11566 is 133668262.

LCM(11557,11566) = 133668262

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Least Common Multiple of 11557 and 11566 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 11566, than apply into the LCM equation.

GCF(11557,11566) = 1
LCM(11557,11566) = ( 11557 × 11566) / 1
LCM(11557,11566) = 133668262 / 1
LCM(11557,11566) = 133668262

Least Common Multiple (LCM) of 11557 and 11566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11557 and 11566. First we will calculate the prime factors of 11557 and 11566.

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 11566

Prime factors of 11566 are 2, 5783. Prime factorization of 11566 in exponential form is:

11566 = 21 × 57831

Now multiplying the highest exponent prime factors to calculate the LCM of 11557 and 11566.

LCM(11557,11566) = 71 × 131 × 1271 × 21 × 57831
LCM(11557,11566) = 133668262