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What is the Least Common Multiple of 10275 and 10281?

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 10275 and 10281 is 35212425.

LCM(10275,10281) = 35212425

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Least Common Multiple of 10275 and 10281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10275 and 10281, than apply into the LCM equation.

GCF(10275,10281) = 3
LCM(10275,10281) = ( 10275 × 10281) / 3
LCM(10275,10281) = 105637275 / 3
LCM(10275,10281) = 35212425

Least Common Multiple (LCM) of 10275 and 10281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10275 and 10281. First we will calculate the prime factors of 10275 and 10281.

Prime Factorization of 10275

Prime factors of 10275 are 3, 5, 137. Prime factorization of 10275 in exponential form is:

10275 = 31 × 52 × 1371

Prime Factorization of 10281

Prime factors of 10281 are 3, 23, 149. Prime factorization of 10281 in exponential form is:

10281 = 31 × 231 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 10275 and 10281.

LCM(10275,10281) = 31 × 52 × 1371 × 231 × 1491
LCM(10275,10281) = 35212425