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What is the Least Common Multiple of 28668 and 28684?

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 28668 and 28684 is 205578228.

LCM(28668,28684) = 205578228

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Least Common Multiple of 28668 and 28684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28668 and 28684, than apply into the LCM equation.

GCF(28668,28684) = 4
LCM(28668,28684) = ( 28668 × 28684) / 4
LCM(28668,28684) = 822312912 / 4
LCM(28668,28684) = 205578228

Least Common Multiple (LCM) of 28668 and 28684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28668 and 28684. First we will calculate the prime factors of 28668 and 28684.

Prime Factorization of 28668

Prime factors of 28668 are 2, 3, 2389. Prime factorization of 28668 in exponential form is:

28668 = 22 × 31 × 23891

Prime Factorization of 28684

Prime factors of 28684 are 2, 71, 101. Prime factorization of 28684 in exponential form is:

28684 = 22 × 711 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 28668 and 28684.

LCM(28668,28684) = 22 × 31 × 23891 × 711 × 1011
LCM(28668,28684) = 205578228