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What is the Least Common Multiple of 13168 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 13168 and 13182 is 86790288.

LCM(13168,13182) = 86790288

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Least Common Multiple of 13168 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 13168 and 13182, than apply into the LCM equation.

GCF(13168,13182) = 2
LCM(13168,13182) = ( 13168 × 13182) / 2
LCM(13168,13182) = 173580576 / 2
LCM(13168,13182) = 86790288

Least Common Multiple (LCM) of 13168 and 13182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13168 and 13182. First we will calculate the prime factors of 13168 and 13182.

Prime Factorization of 13168

Prime factors of 13168 are 2, 823. Prime factorization of 13168 in exponential form is:

13168 = 24 × 8231

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 13168 and 13182.

LCM(13168,13182) = 24 × 8231 × 31 × 133
LCM(13168,13182) = 86790288