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What is the Least Common Multiple of 10240 and 10257?

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 10240 and 10257 is 105031680.

LCM(10240,10257) = 105031680

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Least Common Multiple of 10240 and 10257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10240 and 10257, than apply into the LCM equation.

GCF(10240,10257) = 1
LCM(10240,10257) = ( 10240 × 10257) / 1
LCM(10240,10257) = 105031680 / 1
LCM(10240,10257) = 105031680

Least Common Multiple (LCM) of 10240 and 10257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10257. First we will calculate the prime factors of 10240 and 10257.

Prime Factorization of 10240

Prime factors of 10240 are 2, 5. Prime factorization of 10240 in exponential form is:

10240 = 211 × 51

Prime Factorization of 10257

Prime factors of 10257 are 3, 13, 263. Prime factorization of 10257 in exponential form is:

10257 = 31 × 131 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10257.

LCM(10240,10257) = 211 × 51 × 31 × 131 × 2631
LCM(10240,10257) = 105031680