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What is the Least Common Multiple of 10158 and 10171?

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 10171 is 103317018.

LCM(10158,10171) = 103317018

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Least Common Multiple of 10158 and 10171 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 10171, than apply into the LCM equation.

GCF(10158,10171) = 1
LCM(10158,10171) = ( 10158 × 10171) / 1
LCM(10158,10171) = 103317018 / 1
LCM(10158,10171) = 103317018

Least Common Multiple (LCM) of 10158 and 10171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10158 and 10171. First we will calculate the prime factors of 10158 and 10171.

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 10171

Prime factors of 10171 are 7, 1453. Prime factorization of 10171 in exponential form is:

10171 = 71 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 10158 and 10171.

LCM(10158,10171) = 21 × 31 × 16931 × 71 × 14531
LCM(10158,10171) = 103317018