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What is the Least Common Multiple of 2285 and 2289?

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 2285 and 2289 is 5230365.

LCM(2285,2289) = 5230365

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Least Common Multiple of 2285 and 2289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2285 and 2289, than apply into the LCM equation.

GCF(2285,2289) = 1
LCM(2285,2289) = ( 2285 × 2289) / 1
LCM(2285,2289) = 5230365 / 1
LCM(2285,2289) = 5230365

Least Common Multiple (LCM) of 2285 and 2289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2285 and 2289. First we will calculate the prime factors of 2285 and 2289.

Prime Factorization of 2285

Prime factors of 2285 are 5, 457. Prime factorization of 2285 in exponential form is:

2285 = 51 × 4571

Prime Factorization of 2289

Prime factors of 2289 are 3, 7, 109. Prime factorization of 2289 in exponential form is:

2289 = 31 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2285 and 2289.

LCM(2285,2289) = 51 × 4571 × 31 × 71 × 1091
LCM(2285,2289) = 5230365