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What is the Least Common Multiple of 11546 and 11554?

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 11554 is 66701242.

LCM(11546,11554) = 66701242

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Least Common Multiple of 11546 and 11554 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 11554, than apply into the LCM equation.

GCF(11546,11554) = 2
LCM(11546,11554) = ( 11546 × 11554) / 2
LCM(11546,11554) = 133402484 / 2
LCM(11546,11554) = 66701242

Least Common Multiple (LCM) of 11546 and 11554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11546 and 11554. First we will calculate the prime factors of 11546 and 11554.

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 11554

Prime factors of 11554 are 2, 53, 109. Prime factorization of 11554 in exponential form is:

11554 = 21 × 531 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 11546 and 11554.

LCM(11546,11554) = 21 × 231 × 2511 × 531 × 1091
LCM(11546,11554) = 66701242