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What is the Least Common Multiple of 10158 and 10167?

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 10158 and 10167 is 34425462.

LCM(10158,10167) = 34425462

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Least Common Multiple of 10158 and 10167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10158 and 10167, than apply into the LCM equation.

GCF(10158,10167) = 3
LCM(10158,10167) = ( 10158 × 10167) / 3
LCM(10158,10167) = 103276386 / 3
LCM(10158,10167) = 34425462

Least Common Multiple (LCM) of 10158 and 10167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10158 and 10167. First we will calculate the prime factors of 10158 and 10167.

Prime Factorization of 10158

Prime factors of 10158 are 2, 3, 1693. Prime factorization of 10158 in exponential form is:

10158 = 21 × 31 × 16931

Prime Factorization of 10167

Prime factors of 10167 are 3, 3389. Prime factorization of 10167 in exponential form is:

10167 = 31 × 33891

Now multiplying the highest exponent prime factors to calculate the LCM of 10158 and 10167.

LCM(10158,10167) = 21 × 31 × 16931 × 33891
LCM(10158,10167) = 34425462