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What is the Least Common Multiple of 13577 and 13581?

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 13577 and 13581 is 184389237.

LCM(13577,13581) = 184389237

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Least Common Multiple of 13577 and 13581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13577 and 13581, than apply into the LCM equation.

GCF(13577,13581) = 1
LCM(13577,13581) = ( 13577 × 13581) / 1
LCM(13577,13581) = 184389237 / 1
LCM(13577,13581) = 184389237

Least Common Multiple (LCM) of 13577 and 13581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13577 and 13581. First we will calculate the prime factors of 13577 and 13581.

Prime Factorization of 13577

Prime factors of 13577 are 13577. Prime factorization of 13577 in exponential form is:

13577 = 135771

Prime Factorization of 13581

Prime factors of 13581 are 3, 503. Prime factorization of 13581 in exponential form is:

13581 = 33 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 13577 and 13581.

LCM(13577,13581) = 135771 × 33 × 5031
LCM(13577,13581) = 184389237