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What is the Least Common Multiple of 28670 and 28687?

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 28670 and 28687 is 822456290.

LCM(28670,28687) = 822456290

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Least Common Multiple of 28670 and 28687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28670 and 28687, than apply into the LCM equation.

GCF(28670,28687) = 1
LCM(28670,28687) = ( 28670 × 28687) / 1
LCM(28670,28687) = 822456290 / 1
LCM(28670,28687) = 822456290

Least Common Multiple (LCM) of 28670 and 28687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28670 and 28687. First we will calculate the prime factors of 28670 and 28687.

Prime Factorization of 28670

Prime factors of 28670 are 2, 5, 47, 61. Prime factorization of 28670 in exponential form is:

28670 = 21 × 51 × 471 × 611

Prime Factorization of 28687

Prime factors of 28687 are 28687. Prime factorization of 28687 in exponential form is:

28687 = 286871

Now multiplying the highest exponent prime factors to calculate the LCM of 28670 and 28687.

LCM(28670,28687) = 21 × 51 × 471 × 611 × 286871
LCM(28670,28687) = 822456290