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What is the Least Common Multiple of 28604 and 28611?

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 28604 and 28611 is 818389044.

LCM(28604,28611) = 818389044

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Least Common Multiple of 28604 and 28611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28604 and 28611, than apply into the LCM equation.

GCF(28604,28611) = 1
LCM(28604,28611) = ( 28604 × 28611) / 1
LCM(28604,28611) = 818389044 / 1
LCM(28604,28611) = 818389044

Least Common Multiple (LCM) of 28604 and 28611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28604 and 28611. First we will calculate the prime factors of 28604 and 28611.

Prime Factorization of 28604

Prime factors of 28604 are 2, 7151. Prime factorization of 28604 in exponential form is:

28604 = 22 × 71511

Prime Factorization of 28611

Prime factors of 28611 are 3, 11, 17. Prime factorization of 28611 in exponential form is:

28611 = 32 × 111 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 28604 and 28611.

LCM(28604,28611) = 22 × 71511 × 32 × 111 × 172
LCM(28604,28611) = 818389044