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What is the Least Common Multiple of 11546 and 11559?

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 11546 and 11559 is 133460214.

LCM(11546,11559) = 133460214

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Least Common Multiple of 11546 and 11559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11546 and 11559, than apply into the LCM equation.

GCF(11546,11559) = 1
LCM(11546,11559) = ( 11546 × 11559) / 1
LCM(11546,11559) = 133460214 / 1
LCM(11546,11559) = 133460214

Least Common Multiple (LCM) of 11546 and 11559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11546 and 11559. First we will calculate the prime factors of 11546 and 11559.

Prime Factorization of 11546

Prime factors of 11546 are 2, 23, 251. Prime factorization of 11546 in exponential form is:

11546 = 21 × 231 × 2511

Prime Factorization of 11559

Prime factors of 11559 are 3, 3853. Prime factorization of 11559 in exponential form is:

11559 = 31 × 38531

Now multiplying the highest exponent prime factors to calculate the LCM of 11546 and 11559.

LCM(11546,11559) = 21 × 231 × 2511 × 31 × 38531
LCM(11546,11559) = 133460214