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What is the Least Common Multiple of 13647 and 13663?

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 13647 and 13663 is 186458961.

LCM(13647,13663) = 186458961

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Least Common Multiple of 13647 and 13663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13647 and 13663, than apply into the LCM equation.

GCF(13647,13663) = 1
LCM(13647,13663) = ( 13647 × 13663) / 1
LCM(13647,13663) = 186458961 / 1
LCM(13647,13663) = 186458961

Least Common Multiple (LCM) of 13647 and 13663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13647 and 13663. First we will calculate the prime factors of 13647 and 13663.

Prime Factorization of 13647

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

13647 = 31 × 45491

Prime Factorization of 13663

Prime factors of 13663 are 13, 1051. Prime factorization of 13663 in exponential form is:

13663 = 131 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 13647 and 13663.

LCM(13647,13663) = 31 × 45491 × 131 × 10511
LCM(13647,13663) = 186458961