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What is the Least Common Multiple of 13146 and 13151?

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 13146 and 13151 is 172883046.

LCM(13146,13151) = 172883046

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Least Common Multiple of 13146 and 13151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13146 and 13151, than apply into the LCM equation.

GCF(13146,13151) = 1
LCM(13146,13151) = ( 13146 × 13151) / 1
LCM(13146,13151) = 172883046 / 1
LCM(13146,13151) = 172883046

Least Common Multiple (LCM) of 13146 and 13151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13146 and 13151. First we will calculate the prime factors of 13146 and 13151.

Prime Factorization of 13146

Prime factors of 13146 are 2, 3, 7, 313. Prime factorization of 13146 in exponential form is:

13146 = 21 × 31 × 71 × 3131

Prime Factorization of 13151

Prime factors of 13151 are 13151. Prime factorization of 13151 in exponential form is:

13151 = 131511

Now multiplying the highest exponent prime factors to calculate the LCM of 13146 and 13151.

LCM(13146,13151) = 21 × 31 × 71 × 3131 × 131511
LCM(13146,13151) = 172883046