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What is the Least Common Multiple of 11300 and 11310?

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 11300 and 11310 is 12780300.

LCM(11300,11310) = 12780300

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Least Common Multiple of 11300 and 11310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11300 and 11310, than apply into the LCM equation.

GCF(11300,11310) = 10
LCM(11300,11310) = ( 11300 × 11310) / 10
LCM(11300,11310) = 127803000 / 10
LCM(11300,11310) = 12780300

Least Common Multiple (LCM) of 11300 and 11310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11300 and 11310. First we will calculate the prime factors of 11300 and 11310.

Prime Factorization of 11300

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

11300 = 22 × 52 × 1131

Prime Factorization of 11310

Prime factors of 11310 are 2, 3, 5, 13, 29. Prime factorization of 11310 in exponential form is:

11310 = 21 × 31 × 51 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 11300 and 11310.

LCM(11300,11310) = 22 × 52 × 1131 × 31 × 131 × 291
LCM(11300,11310) = 12780300