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What is the Least Common Multiple of 10274 and 10286?

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 10286 is 52839182.

LCM(10274,10286) = 52839182

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Least Common Multiple of 10274 and 10286 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 10286, than apply into the LCM equation.

GCF(10274,10286) = 2
LCM(10274,10286) = ( 10274 × 10286) / 2
LCM(10274,10286) = 105678364 / 2
LCM(10274,10286) = 52839182

Least Common Multiple (LCM) of 10274 and 10286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10274 and 10286. First we will calculate the prime factors of 10274 and 10286.

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 10286

Prime factors of 10286 are 2, 37, 139. Prime factorization of 10286 in exponential form is:

10286 = 21 × 371 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10274 and 10286.

LCM(10274,10286) = 21 × 111 × 4671 × 371 × 1391
LCM(10274,10286) = 52839182