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What is the Least Common Multiple of 2292 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 2292 and 2298 is 877836.

LCM(2292,2298) = 877836

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Least Common Multiple of 2292 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 2292 and 2298, than apply into the LCM equation.

GCF(2292,2298) = 6
LCM(2292,2298) = ( 2292 × 2298) / 6
LCM(2292,2298) = 5267016 / 6
LCM(2292,2298) = 877836

Least Common Multiple (LCM) of 2292 and 2298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2292 and 2298. First we will calculate the prime factors of 2292 and 2298.

Prime Factorization of 2292

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

2292 = 22 × 31 × 1911

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 2292 and 2298.

LCM(2292,2298) = 22 × 31 × 1911 × 3831
LCM(2292,2298) = 877836