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What is the Least Common Multiple of 10177 and 10192?

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 10177 and 10192 is 103723984.

LCM(10177,10192) = 103723984

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Least Common Multiple of 10177 and 10192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10177 and 10192, than apply into the LCM equation.

GCF(10177,10192) = 1
LCM(10177,10192) = ( 10177 × 10192) / 1
LCM(10177,10192) = 103723984 / 1
LCM(10177,10192) = 103723984

Least Common Multiple (LCM) of 10177 and 10192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10177 and 10192. First we will calculate the prime factors of 10177 and 10192.

Prime Factorization of 10177

Prime factors of 10177 are 10177. Prime factorization of 10177 in exponential form is:

10177 = 101771

Prime Factorization of 10192

Prime factors of 10192 are 2, 7, 13. Prime factorization of 10192 in exponential form is:

10192 = 24 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 10177 and 10192.

LCM(10177,10192) = 101771 × 24 × 72 × 131
LCM(10177,10192) = 103723984