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What is the Least Common Multiple of 2230 and 2241?

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 2230 and 2241 is 4997430.

LCM(2230,2241) = 4997430

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Least Common Multiple of 2230 and 2241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2230 and 2241, than apply into the LCM equation.

GCF(2230,2241) = 1
LCM(2230,2241) = ( 2230 × 2241) / 1
LCM(2230,2241) = 4997430 / 1
LCM(2230,2241) = 4997430

Least Common Multiple (LCM) of 2230 and 2241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2230 and 2241. First we will calculate the prime factors of 2230 and 2241.

Prime Factorization of 2230

Prime factors of 2230 are 2, 5, 223. Prime factorization of 2230 in exponential form is:

2230 = 21 × 51 × 2231

Prime Factorization of 2241

Prime factors of 2241 are 3, 83. Prime factorization of 2241 in exponential form is:

2241 = 33 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 2230 and 2241.

LCM(2230,2241) = 21 × 51 × 2231 × 33 × 831
LCM(2230,2241) = 4997430