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What is the Least Common Multiple of 10274 and 10289?

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 10274 and 10289 is 105709186.

LCM(10274,10289) = 105709186

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Least Common Multiple of 10274 and 10289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10274 and 10289, than apply into the LCM equation.

GCF(10274,10289) = 1
LCM(10274,10289) = ( 10274 × 10289) / 1
LCM(10274,10289) = 105709186 / 1
LCM(10274,10289) = 105709186

Least Common Multiple (LCM) of 10274 and 10289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10274 and 10289. First we will calculate the prime factors of 10274 and 10289.

Prime Factorization of 10274

Prime factors of 10274 are 2, 11, 467. Prime factorization of 10274 in exponential form is:

10274 = 21 × 111 × 4671

Prime Factorization of 10289

Prime factors of 10289 are 10289. Prime factorization of 10289 in exponential form is:

10289 = 102891

Now multiplying the highest exponent prime factors to calculate the LCM of 10274 and 10289.

LCM(10274,10289) = 21 × 111 × 4671 × 102891
LCM(10274,10289) = 105709186