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What is the Least Common Multiple of 13163 and 13182?

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 13163 and 13182 is 173514666.

LCM(13163,13182) = 173514666

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Least Common Multiple of 13163 and 13182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13163 and 13182, than apply into the LCM equation.

GCF(13163,13182) = 1
LCM(13163,13182) = ( 13163 × 13182) / 1
LCM(13163,13182) = 173514666 / 1
LCM(13163,13182) = 173514666

Least Common Multiple (LCM) of 13163 and 13182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13163 and 13182. First we will calculate the prime factors of 13163 and 13182.

Prime Factorization of 13163

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

13163 = 131631

Prime Factorization of 13182

Prime factors of 13182 are 2, 3, 13. Prime factorization of 13182 in exponential form is:

13182 = 21 × 31 × 133

Now multiplying the highest exponent prime factors to calculate the LCM of 13163 and 13182.

LCM(13163,13182) = 131631 × 21 × 31 × 133
LCM(13163,13182) = 173514666