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What is the Least Common Multiple of 11289 and 11298?

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 11289 and 11298 is 42514374.

LCM(11289,11298) = 42514374

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Least Common Multiple of 11289 and 11298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11289 and 11298, than apply into the LCM equation.

GCF(11289,11298) = 3
LCM(11289,11298) = ( 11289 × 11298) / 3
LCM(11289,11298) = 127543122 / 3
LCM(11289,11298) = 42514374

Least Common Multiple (LCM) of 11289 and 11298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11289 and 11298. First we will calculate the prime factors of 11289 and 11298.

Prime Factorization of 11289

Prime factors of 11289 are 3, 53, 71. Prime factorization of 11289 in exponential form is:

11289 = 31 × 531 × 711

Prime Factorization of 11298

Prime factors of 11298 are 2, 3, 7, 269. Prime factorization of 11298 in exponential form is:

11298 = 21 × 31 × 71 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 11289 and 11298.

LCM(11289,11298) = 31 × 531 × 711 × 21 × 71 × 2691
LCM(11289,11298) = 42514374