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What is the Least Common Multiple of 11289 and 11300?

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 11300 is 127565700.

LCM(11289,11300) = 127565700

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Least Common Multiple of 11289 and 11300 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 11300, than apply into the LCM equation.

GCF(11289,11300) = 1
LCM(11289,11300) = ( 11289 × 11300) / 1
LCM(11289,11300) = 127565700 / 1
LCM(11289,11300) = 127565700

Least Common Multiple (LCM) of 11289 and 11300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11289 and 11300. First we will calculate the prime factors of 11289 and 11300.

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 11300

Prime factors of 11300 are 2, 5, 113. Prime factorization of 11300 in exponential form is:

11300 = 22 × 52 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 11289 and 11300.

LCM(11289,11300) = 31 × 531 × 711 × 22 × 52 × 1131
LCM(11289,11300) = 127565700