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What is the Least Common Multiple of 27163 and 27182?

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 27163 and 27182 is 738344666.

LCM(27163,27182) = 738344666

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Least Common Multiple of 27163 and 27182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27163 and 27182, than apply into the LCM equation.

GCF(27163,27182) = 1
LCM(27163,27182) = ( 27163 × 27182) / 1
LCM(27163,27182) = 738344666 / 1
LCM(27163,27182) = 738344666

Least Common Multiple (LCM) of 27163 and 27182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27163 and 27182. First we will calculate the prime factors of 27163 and 27182.

Prime Factorization of 27163

Prime factors of 27163 are 23, 1181. Prime factorization of 27163 in exponential form is:

27163 = 231 × 11811

Prime Factorization of 27182

Prime factors of 27182 are 2, 13591. Prime factorization of 27182 in exponential form is:

27182 = 21 × 135911

Now multiplying the highest exponent prime factors to calculate the LCM of 27163 and 27182.

LCM(27163,27182) = 231 × 11811 × 21 × 135911
LCM(27163,27182) = 738344666