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What is the Least Common Multiple of 13627 and 13647?

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 13627 and 13647 is 185967669.

LCM(13627,13647) = 185967669

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Least Common Multiple of 13627 and 13647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13627 and 13647, than apply into the LCM equation.

GCF(13627,13647) = 1
LCM(13627,13647) = ( 13627 × 13647) / 1
LCM(13627,13647) = 185967669 / 1
LCM(13627,13647) = 185967669

Least Common Multiple (LCM) of 13627 and 13647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13627 and 13647. First we will calculate the prime factors of 13627 and 13647.

Prime Factorization of 13627

Prime factors of 13627 are 13627. Prime factorization of 13627 in exponential form is:

13627 = 136271

Prime Factorization of 13647

Prime factors of 13647 are 3, 4549. Prime factorization of 13647 in exponential form is:

13647 = 31 × 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 13627 and 13647.

LCM(13627,13647) = 136271 × 31 × 45491
LCM(13627,13647) = 185967669