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What is the Least Common Multiple of 13177 and 13195?

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 13177 and 13195 is 173870515.

LCM(13177,13195) = 173870515

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Least Common Multiple of 13177 and 13195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13177 and 13195, than apply into the LCM equation.

GCF(13177,13195) = 1
LCM(13177,13195) = ( 13177 × 13195) / 1
LCM(13177,13195) = 173870515 / 1
LCM(13177,13195) = 173870515

Least Common Multiple (LCM) of 13177 and 13195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13177 and 13195. First we will calculate the prime factors of 13177 and 13195.

Prime Factorization of 13177

Prime factors of 13177 are 13177. Prime factorization of 13177 in exponential form is:

13177 = 131771

Prime Factorization of 13195

Prime factors of 13195 are 5, 7, 13, 29. Prime factorization of 13195 in exponential form is:

13195 = 51 × 71 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 13177 and 13195.

LCM(13177,13195) = 131771 × 51 × 71 × 131 × 291
LCM(13177,13195) = 173870515