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What is the Least Common Multiple of 13171 and 13178?

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 13171 and 13178 is 173567438.

LCM(13171,13178) = 173567438

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Least Common Multiple of 13171 and 13178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13171 and 13178, than apply into the LCM equation.

GCF(13171,13178) = 1
LCM(13171,13178) = ( 13171 × 13178) / 1
LCM(13171,13178) = 173567438 / 1
LCM(13171,13178) = 173567438

Least Common Multiple (LCM) of 13171 and 13178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13171 and 13178. First we will calculate the prime factors of 13171 and 13178.

Prime Factorization of 13171

Prime factors of 13171 are 13171. Prime factorization of 13171 in exponential form is:

13171 = 131711

Prime Factorization of 13178

Prime factors of 13178 are 2, 11, 599. Prime factorization of 13178 in exponential form is:

13178 = 21 × 111 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 13171 and 13178.

LCM(13171,13178) = 131711 × 21 × 111 × 5991
LCM(13171,13178) = 173567438