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What is the Least Common Multiple of 2286 and 2298?

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 2286 and 2298 is 875538.

LCM(2286,2298) = 875538

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Least Common Multiple of 2286 and 2298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2286 and 2298, than apply into the LCM equation.

GCF(2286,2298) = 6
LCM(2286,2298) = ( 2286 × 2298) / 6
LCM(2286,2298) = 5253228 / 6
LCM(2286,2298) = 875538

Least Common Multiple (LCM) of 2286 and 2298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2286 and 2298. First we will calculate the prime factors of 2286 and 2298.

Prime Factorization of 2286

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

2286 = 21 × 32 × 1271

Prime Factorization of 2298

Prime factors of 2298 are 2, 3, 383. Prime factorization of 2298 in exponential form is:

2298 = 21 × 31 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 2286 and 2298.

LCM(2286,2298) = 21 × 32 × 1271 × 3831
LCM(2286,2298) = 875538