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What is the Least Common Multiple of 13375 and 13394?

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 13394 is 179144750.

LCM(13375,13394) = 179144750

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Least Common Multiple of 13375 and 13394 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 13394, than apply into the LCM equation.

GCF(13375,13394) = 1
LCM(13375,13394) = ( 13375 × 13394) / 1
LCM(13375,13394) = 179144750 / 1
LCM(13375,13394) = 179144750

Least Common Multiple (LCM) of 13375 and 13394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13375 and 13394. First we will calculate the prime factors of 13375 and 13394.

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 13394

Prime factors of 13394 are 2, 37, 181. Prime factorization of 13394 in exponential form is:

13394 = 21 × 371 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 13375 and 13394.

LCM(13375,13394) = 53 × 1071 × 21 × 371 × 1811
LCM(13375,13394) = 179144750