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What is the Least Common Multiple of 12293 and 12300?

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 12293 and 12300 is 151203900.

LCM(12293,12300) = 151203900

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Least Common Multiple of 12293 and 12300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12293 and 12300, than apply into the LCM equation.

GCF(12293,12300) = 1
LCM(12293,12300) = ( 12293 × 12300) / 1
LCM(12293,12300) = 151203900 / 1
LCM(12293,12300) = 151203900

Least Common Multiple (LCM) of 12293 and 12300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12293 and 12300. First we will calculate the prime factors of 12293 and 12300.

Prime Factorization of 12293

Prime factors of 12293 are 19, 647. Prime factorization of 12293 in exponential form is:

12293 = 191 × 6471

Prime Factorization of 12300

Prime factors of 12300 are 2, 3, 5, 41. Prime factorization of 12300 in exponential form is:

12300 = 22 × 31 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 12293 and 12300.

LCM(12293,12300) = 191 × 6471 × 22 × 31 × 52 × 411
LCM(12293,12300) = 151203900