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What is the Least Common Multiple of 10447 and 10460?

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 10447 and 10460 is 109275620.

LCM(10447,10460) = 109275620

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Least Common Multiple of 10447 and 10460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10447 and 10460, than apply into the LCM equation.

GCF(10447,10460) = 1
LCM(10447,10460) = ( 10447 × 10460) / 1
LCM(10447,10460) = 109275620 / 1
LCM(10447,10460) = 109275620

Least Common Multiple (LCM) of 10447 and 10460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10447 and 10460. First we will calculate the prime factors of 10447 and 10460.

Prime Factorization of 10447

Prime factors of 10447 are 31, 337. Prime factorization of 10447 in exponential form is:

10447 = 311 × 3371

Prime Factorization of 10460

Prime factors of 10460 are 2, 5, 523. Prime factorization of 10460 in exponential form is:

10460 = 22 × 51 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 10447 and 10460.

LCM(10447,10460) = 311 × 3371 × 22 × 51 × 5231
LCM(10447,10460) = 109275620