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What is the Least Common Multiple of 13355 and 13375?

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 13355 and 13375 is 35724625.

LCM(13355,13375) = 35724625

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Least Common Multiple of 13355 and 13375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13355 and 13375, than apply into the LCM equation.

GCF(13355,13375) = 5
LCM(13355,13375) = ( 13355 × 13375) / 5
LCM(13355,13375) = 178623125 / 5
LCM(13355,13375) = 35724625

Least Common Multiple (LCM) of 13355 and 13375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13355 and 13375. First we will calculate the prime factors of 13355 and 13375.

Prime Factorization of 13355

Prime factors of 13355 are 5, 2671. Prime factorization of 13355 in exponential form is:

13355 = 51 × 26711

Prime Factorization of 13375

Prime factors of 13375 are 5, 107. Prime factorization of 13375 in exponential form is:

13375 = 53 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 13355 and 13375.

LCM(13355,13375) = 53 × 26711 × 1071
LCM(13355,13375) = 35724625