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What is the Least Common Multiple of 13675 and 13689?

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 13689 is 187197075.

LCM(13675,13689) = 187197075

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Least Common Multiple of 13675 and 13689 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 13689, than apply into the LCM equation.

GCF(13675,13689) = 1
LCM(13675,13689) = ( 13675 × 13689) / 1
LCM(13675,13689) = 187197075 / 1
LCM(13675,13689) = 187197075

Least Common Multiple (LCM) of 13675 and 13689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13675 and 13689. First we will calculate the prime factors of 13675 and 13689.

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 13689

Prime factors of 13689 are 3, 13. Prime factorization of 13689 in exponential form is:

13689 = 34 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 13675 and 13689.

LCM(13675,13689) = 52 × 5471 × 34 × 132
LCM(13675,13689) = 187197075