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What is the Least Common Multiple of 13165 and 13177?

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 13165 and 13177 is 173475205.

LCM(13165,13177) = 173475205

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Least Common Multiple of 13165 and 13177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13165 and 13177, than apply into the LCM equation.

GCF(13165,13177) = 1
LCM(13165,13177) = ( 13165 × 13177) / 1
LCM(13165,13177) = 173475205 / 1
LCM(13165,13177) = 173475205

Least Common Multiple (LCM) of 13165 and 13177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13165 and 13177. First we will calculate the prime factors of 13165 and 13177.

Prime Factorization of 13165

Prime factors of 13165 are 5, 2633. Prime factorization of 13165 in exponential form is:

13165 = 51 × 26331

Prime Factorization of 13177

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

13177 = 131771

Now multiplying the highest exponent prime factors to calculate the LCM of 13165 and 13177.

LCM(13165,13177) = 51 × 26331 × 131771
LCM(13165,13177) = 173475205