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What is the Least Common Multiple of 13375 and 13385?

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 13375 and 13385 is 35804875.

LCM(13375,13385) = 35804875

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Least Common Multiple of 13375 and 13385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13375 and 13385, than apply into the LCM equation.

GCF(13375,13385) = 5
LCM(13375,13385) = ( 13375 × 13385) / 5
LCM(13375,13385) = 179024375 / 5
LCM(13375,13385) = 35804875

Least Common Multiple (LCM) of 13375 and 13385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13375 and 13385. First we will calculate the prime factors of 13375 and 13385.

Prime Factorization of 13375

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

13375 = 53 × 1071

Prime Factorization of 13385

Prime factors of 13385 are 5, 2677. Prime factorization of 13385 in exponential form is:

13385 = 51 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 13375 and 13385.

LCM(13375,13385) = 53 × 1071 × 26771
LCM(13375,13385) = 35804875