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What is the Least Common Multiple of 12290 and 12305?

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 12290 and 12305 is 30245690.

LCM(12290,12305) = 30245690

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Least Common Multiple of 12290 and 12305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12290 and 12305, than apply into the LCM equation.

GCF(12290,12305) = 5
LCM(12290,12305) = ( 12290 × 12305) / 5
LCM(12290,12305) = 151228450 / 5
LCM(12290,12305) = 30245690

Least Common Multiple (LCM) of 12290 and 12305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12290 and 12305. First we will calculate the prime factors of 12290 and 12305.

Prime Factorization of 12290

Prime factors of 12290 are 2, 5, 1229. Prime factorization of 12290 in exponential form is:

12290 = 21 × 51 × 12291

Prime Factorization of 12305

Prime factors of 12305 are 5, 23, 107. Prime factorization of 12305 in exponential form is:

12305 = 51 × 231 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 12290 and 12305.

LCM(12290,12305) = 21 × 51 × 12291 × 231 × 1071
LCM(12290,12305) = 30245690