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What is the Least Common Multiple of 13675 and 13687?

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 13675 and 13687 is 187169725.

LCM(13675,13687) = 187169725

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Least Common Multiple of 13675 and 13687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13675 and 13687, than apply into the LCM equation.

GCF(13675,13687) = 1
LCM(13675,13687) = ( 13675 × 13687) / 1
LCM(13675,13687) = 187169725 / 1
LCM(13675,13687) = 187169725

Least Common Multiple (LCM) of 13675 and 13687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13675 and 13687. First we will calculate the prime factors of 13675 and 13687.

Prime Factorization of 13675

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

13675 = 52 × 5471

Prime Factorization of 13687

Prime factors of 13687 are 13687. Prime factorization of 13687 in exponential form is:

13687 = 136871

Now multiplying the highest exponent prime factors to calculate the LCM of 13675 and 13687.

LCM(13675,13687) = 52 × 5471 × 136871
LCM(13675,13687) = 187169725