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What is the Least Common Multiple of 28623 and 28643?

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 28623 and 28643 is 819848589.

LCM(28623,28643) = 819848589

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Least Common Multiple of 28623 and 28643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28623 and 28643, than apply into the LCM equation.

GCF(28623,28643) = 1
LCM(28623,28643) = ( 28623 × 28643) / 1
LCM(28623,28643) = 819848589 / 1
LCM(28623,28643) = 819848589

Least Common Multiple (LCM) of 28623 and 28643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28623 and 28643. First we will calculate the prime factors of 28623 and 28643.

Prime Factorization of 28623

Prime factors of 28623 are 3, 7, 29, 47. Prime factorization of 28623 in exponential form is:

28623 = 31 × 71 × 291 × 471

Prime Factorization of 28643

Prime factors of 28643 are 28643. Prime factorization of 28643 in exponential form is:

28643 = 286431

Now multiplying the highest exponent prime factors to calculate the LCM of 28623 and 28643.

LCM(28623,28643) = 31 × 71 × 291 × 471 × 286431
LCM(28623,28643) = 819848589