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What is the Least Common Multiple of 10254 and 10269?

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 10254 and 10269 is 35099442.

LCM(10254,10269) = 35099442

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Least Common Multiple of 10254 and 10269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10254 and 10269, than apply into the LCM equation.

GCF(10254,10269) = 3
LCM(10254,10269) = ( 10254 × 10269) / 3
LCM(10254,10269) = 105298326 / 3
LCM(10254,10269) = 35099442

Least Common Multiple (LCM) of 10254 and 10269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10254 and 10269. First we will calculate the prime factors of 10254 and 10269.

Prime Factorization of 10254

Prime factors of 10254 are 2, 3, 1709. Prime factorization of 10254 in exponential form is:

10254 = 21 × 31 × 17091

Prime Factorization of 10269

Prime factors of 10269 are 3, 7, 163. Prime factorization of 10269 in exponential form is:

10269 = 32 × 71 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 10254 and 10269.

LCM(10254,10269) = 21 × 32 × 17091 × 71 × 1631
LCM(10254,10269) = 35099442