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What is the Least Common Multiple of 10176 and 10195?

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 10176 and 10195 is 103744320.

LCM(10176,10195) = 103744320

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Least Common Multiple of 10176 and 10195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10176 and 10195, than apply into the LCM equation.

GCF(10176,10195) = 1
LCM(10176,10195) = ( 10176 × 10195) / 1
LCM(10176,10195) = 103744320 / 1
LCM(10176,10195) = 103744320

Least Common Multiple (LCM) of 10176 and 10195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10176 and 10195. First we will calculate the prime factors of 10176 and 10195.

Prime Factorization of 10176

Prime factors of 10176 are 2, 3, 53. Prime factorization of 10176 in exponential form is:

10176 = 26 × 31 × 531

Prime Factorization of 10195

Prime factors of 10195 are 5, 2039. Prime factorization of 10195 in exponential form is:

10195 = 51 × 20391

Now multiplying the highest exponent prime factors to calculate the LCM of 10176 and 10195.

LCM(10176,10195) = 26 × 31 × 531 × 51 × 20391
LCM(10176,10195) = 103744320