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What is the Least Common Multiple of 13146 and 13163?

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 13163 is 173040798.

LCM(13146,13163) = 173040798

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Least Common Multiple of 13146 and 13163 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 13163, than apply into the LCM equation.

GCF(13146,13163) = 1
LCM(13146,13163) = ( 13146 × 13163) / 1
LCM(13146,13163) = 173040798 / 1
LCM(13146,13163) = 173040798

Least Common Multiple (LCM) of 13146 and 13163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13146 and 13163. First we will calculate the prime factors of 13146 and 13163.

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 13163

Prime factors of 13163 are 13163. Prime factorization of 13163 in exponential form is:

13163 = 131631

Now multiplying the highest exponent prime factors to calculate the LCM of 13146 and 13163.

LCM(13146,13163) = 21 × 31 × 71 × 3131 × 131631
LCM(13146,13163) = 173040798