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What is the Least Common Multiple of 13661 and 13675?

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 13661 and 13675 is 186814175.

LCM(13661,13675) = 186814175

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Least Common Multiple of 13661 and 13675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13661 and 13675, than apply into the LCM equation.

GCF(13661,13675) = 1
LCM(13661,13675) = ( 13661 × 13675) / 1
LCM(13661,13675) = 186814175 / 1
LCM(13661,13675) = 186814175

Least Common Multiple (LCM) of 13661 and 13675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13661 and 13675. First we will calculate the prime factors of 13661 and 13675.

Prime Factorization of 13661

Prime factors of 13661 are 19, 719. Prime factorization of 13661 in exponential form is:

13661 = 191 × 7191

Prime Factorization of 13675

Prime factors of 13675 are 5, 547. Prime factorization of 13675 in exponential form is:

13675 = 52 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 13661 and 13675.

LCM(13661,13675) = 191 × 7191 × 52 × 5471
LCM(13661,13675) = 186814175