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What is the Least Common Multiple of 13581 and 13587?

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 13581 and 13587 is 61508349.

LCM(13581,13587) = 61508349

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Least Common Multiple of 13581 and 13587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13581 and 13587, than apply into the LCM equation.

GCF(13581,13587) = 3
LCM(13581,13587) = ( 13581 × 13587) / 3
LCM(13581,13587) = 184525047 / 3
LCM(13581,13587) = 61508349

Least Common Multiple (LCM) of 13581 and 13587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13581 and 13587. First we will calculate the prime factors of 13581 and 13587.

Prime Factorization of 13581

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

13581 = 33 × 5031

Prime Factorization of 13587

Prime factors of 13587 are 3, 7, 647. Prime factorization of 13587 in exponential form is:

13587 = 31 × 71 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 13581 and 13587.

LCM(13581,13587) = 33 × 5031 × 71 × 6471
LCM(13581,13587) = 61508349