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What is the Least Common Multiple of 10263 and 10271?

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 10263 and 10271 is 105411273.

LCM(10263,10271) = 105411273

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Least Common Multiple of 10263 and 10271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10263 and 10271, than apply into the LCM equation.

GCF(10263,10271) = 1
LCM(10263,10271) = ( 10263 × 10271) / 1
LCM(10263,10271) = 105411273 / 1
LCM(10263,10271) = 105411273

Least Common Multiple (LCM) of 10263 and 10271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10263 and 10271. First we will calculate the prime factors of 10263 and 10271.

Prime Factorization of 10263

Prime factors of 10263 are 3, 11, 311. Prime factorization of 10263 in exponential form is:

10263 = 31 × 111 × 3111

Prime Factorization of 10271

Prime factors of 10271 are 10271. Prime factorization of 10271 in exponential form is:

10271 = 102711

Now multiplying the highest exponent prime factors to calculate the LCM of 10263 and 10271.

LCM(10263,10271) = 31 × 111 × 3111 × 102711
LCM(10263,10271) = 105411273