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What is the Least Common Multiple of 2277 and 2293?

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 2277 and 2293 is 5221161.

LCM(2277,2293) = 5221161

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Least Common Multiple of 2277 and 2293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2277 and 2293, than apply into the LCM equation.

GCF(2277,2293) = 1
LCM(2277,2293) = ( 2277 × 2293) / 1
LCM(2277,2293) = 5221161 / 1
LCM(2277,2293) = 5221161

Least Common Multiple (LCM) of 2277 and 2293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2277 and 2293. First we will calculate the prime factors of 2277 and 2293.

Prime Factorization of 2277

Prime factors of 2277 are 3, 11, 23. Prime factorization of 2277 in exponential form is:

2277 = 32 × 111 × 231

Prime Factorization of 2293

Prime factors of 2293 are 2293. Prime factorization of 2293 in exponential form is:

2293 = 22931

Now multiplying the highest exponent prime factors to calculate the LCM of 2277 and 2293.

LCM(2277,2293) = 32 × 111 × 231 × 22931
LCM(2277,2293) = 5221161