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What is the Least Common Multiple of 2274 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 2274 and 2292 is 868668.

LCM(2274,2292) = 868668

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Least Common Multiple of 2274 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 2274 and 2292, than apply into the LCM equation.

GCF(2274,2292) = 6
LCM(2274,2292) = ( 2274 × 2292) / 6
LCM(2274,2292) = 5212008 / 6
LCM(2274,2292) = 868668

Least Common Multiple (LCM) of 2274 and 2292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2274 and 2292. First we will calculate the prime factors of 2274 and 2292.

Prime Factorization of 2274

Prime factors of 2274 are 2, 3, 379. Prime factorization of 2274 in exponential form is:

2274 = 21 × 31 × 3791

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 2274 and 2292.

LCM(2274,2292) = 22 × 31 × 3791 × 1911
LCM(2274,2292) = 868668