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What is the Least Common Multiple of 13544 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 13544 and 13553 is 183561832.

LCM(13544,13553) = 183561832

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Least Common Multiple of 13544 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 13544 and 13553, than apply into the LCM equation.

GCF(13544,13553) = 1
LCM(13544,13553) = ( 13544 × 13553) / 1
LCM(13544,13553) = 183561832 / 1
LCM(13544,13553) = 183561832

Least Common Multiple (LCM) of 13544 and 13553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13544 and 13553. First we will calculate the prime factors of 13544 and 13553.

Prime Factorization of 13544

Prime factors of 13544 are 2, 1693. Prime factorization of 13544 in exponential form is:

13544 = 23 × 16931

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 13544 and 13553.

LCM(13544,13553) = 23 × 16931 × 135531
LCM(13544,13553) = 183561832