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What is the Least Common Multiple of 28449 and 28460?

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 28449 and 28460 is 809658540.

LCM(28449,28460) = 809658540

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Least Common Multiple of 28449 and 28460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28449 and 28460, than apply into the LCM equation.

GCF(28449,28460) = 1
LCM(28449,28460) = ( 28449 × 28460) / 1
LCM(28449,28460) = 809658540 / 1
LCM(28449,28460) = 809658540

Least Common Multiple (LCM) of 28449 and 28460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28449 and 28460. First we will calculate the prime factors of 28449 and 28460.

Prime Factorization of 28449

Prime factors of 28449 are 3, 29, 109. Prime factorization of 28449 in exponential form is:

28449 = 32 × 291 × 1091

Prime Factorization of 28460

Prime factors of 28460 are 2, 5, 1423. Prime factorization of 28460 in exponential form is:

28460 = 22 × 51 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 28449 and 28460.

LCM(28449,28460) = 32 × 291 × 1091 × 22 × 51 × 14231
LCM(28449,28460) = 809658540