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What is the Least Common Multiple of 13541 and 13553?

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 13541 and 13553 is 183521173.

LCM(13541,13553) = 183521173

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Least Common Multiple of 13541 and 13553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13541 and 13553, than apply into the LCM equation.

GCF(13541,13553) = 1
LCM(13541,13553) = ( 13541 × 13553) / 1
LCM(13541,13553) = 183521173 / 1
LCM(13541,13553) = 183521173

Least Common Multiple (LCM) of 13541 and 13553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13541 and 13553. First we will calculate the prime factors of 13541 and 13553.

Prime Factorization of 13541

Prime factors of 13541 are 11, 1231. Prime factorization of 13541 in exponential form is:

13541 = 111 × 12311

Prime Factorization of 13553

Prime factors of 13553 are 13553. Prime factorization of 13553 in exponential form is:

13553 = 135531

Now multiplying the highest exponent prime factors to calculate the LCM of 13541 and 13553.

LCM(13541,13553) = 111 × 12311 × 135531
LCM(13541,13553) = 183521173