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What is the Least Common Multiple of 10163 and 10168?

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 10163 and 10168 is 103337384.

LCM(10163,10168) = 103337384

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Least Common Multiple of 10163 and 10168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10163 and 10168, than apply into the LCM equation.

GCF(10163,10168) = 1
LCM(10163,10168) = ( 10163 × 10168) / 1
LCM(10163,10168) = 103337384 / 1
LCM(10163,10168) = 103337384

Least Common Multiple (LCM) of 10163 and 10168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10163 and 10168. First we will calculate the prime factors of 10163 and 10168.

Prime Factorization of 10163

Prime factors of 10163 are 10163. Prime factorization of 10163 in exponential form is:

10163 = 101631

Prime Factorization of 10168

Prime factors of 10168 are 2, 31, 41. Prime factorization of 10168 in exponential form is:

10168 = 23 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10163 and 10168.

LCM(10163,10168) = 101631 × 23 × 311 × 411
LCM(10163,10168) = 103337384