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What is the Least Common Multiple of 28084 and 28089?

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 28084 and 28089 is 788851476.

LCM(28084,28089) = 788851476

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Least Common Multiple of 28084 and 28089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28084 and 28089, than apply into the LCM equation.

GCF(28084,28089) = 1
LCM(28084,28089) = ( 28084 × 28089) / 1
LCM(28084,28089) = 788851476 / 1
LCM(28084,28089) = 788851476

Least Common Multiple (LCM) of 28084 and 28089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28084 and 28089. First we will calculate the prime factors of 28084 and 28089.

Prime Factorization of 28084

Prime factors of 28084 are 2, 7, 17, 59. Prime factorization of 28084 in exponential form is:

28084 = 22 × 71 × 171 × 591

Prime Factorization of 28089

Prime factors of 28089 are 3, 3121. Prime factorization of 28089 in exponential form is:

28089 = 32 × 31211

Now multiplying the highest exponent prime factors to calculate the LCM of 28084 and 28089.

LCM(28084,28089) = 22 × 71 × 171 × 591 × 32 × 31211
LCM(28084,28089) = 788851476