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What is the Least Common Multiple of 11549 and 11557?

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 11549 and 11557 is 133471793.

LCM(11549,11557) = 133471793

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Least Common Multiple of 11549 and 11557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11549 and 11557, than apply into the LCM equation.

GCF(11549,11557) = 1
LCM(11549,11557) = ( 11549 × 11557) / 1
LCM(11549,11557) = 133471793 / 1
LCM(11549,11557) = 133471793

Least Common Multiple (LCM) of 11549 and 11557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11549 and 11557. First we will calculate the prime factors of 11549 and 11557.

Prime Factorization of 11549

Prime factors of 11549 are 11549. Prime factorization of 11549 in exponential form is:

11549 = 115491

Prime Factorization of 11557

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

11557 = 71 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 11549 and 11557.

LCM(11549,11557) = 115491 × 71 × 131 × 1271
LCM(11549,11557) = 133471793