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What is the Least Common Multiple of 2277 and 2286?

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 2286 is 578358.

LCM(2277,2286) = 578358

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Least Common Multiple of 2277 and 2286 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 2286, than apply into the LCM equation.

GCF(2277,2286) = 9
LCM(2277,2286) = ( 2277 × 2286) / 9
LCM(2277,2286) = 5205222 / 9
LCM(2277,2286) = 578358

Least Common Multiple (LCM) of 2277 and 2286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2277 and 2286. First we will calculate the prime factors of 2277 and 2286.

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 2286

Prime factors of 2286 are 2, 3, 127. Prime factorization of 2286 in exponential form is:

2286 = 21 × 32 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2277 and 2286.

LCM(2277,2286) = 32 × 111 × 231 × 21 × 1271
LCM(2277,2286) = 578358