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What is the Least Common Multiple of 2286 and 2292?

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 2292 is 873252.

LCM(2286,2292) = 873252

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Least Common Multiple of 2286 and 2292 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 2292, than apply into the LCM equation.

GCF(2286,2292) = 6
LCM(2286,2292) = ( 2286 × 2292) / 6
LCM(2286,2292) = 5239512 / 6
LCM(2286,2292) = 873252

Least Common Multiple (LCM) of 2286 and 2292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2286 and 2292. First we will calculate the prime factors of 2286 and 2292.

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 2292

Prime factors of 2292 are 2, 3, 191. Prime factorization of 2292 in exponential form is:

2292 = 22 × 31 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 2286 and 2292.

LCM(2286,2292) = 22 × 32 × 1271 × 1911
LCM(2286,2292) = 873252