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What is the Least Common Multiple of 12239 and 12258?

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 12239 and 12258 is 150025662.

LCM(12239,12258) = 150025662

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Least Common Multiple of 12239 and 12258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12239 and 12258, than apply into the LCM equation.

GCF(12239,12258) = 1
LCM(12239,12258) = ( 12239 × 12258) / 1
LCM(12239,12258) = 150025662 / 1
LCM(12239,12258) = 150025662

Least Common Multiple (LCM) of 12239 and 12258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12239 and 12258. First we will calculate the prime factors of 12239 and 12258.

Prime Factorization of 12239

Prime factors of 12239 are 12239. Prime factorization of 12239 in exponential form is:

12239 = 122391

Prime Factorization of 12258

Prime factors of 12258 are 2, 3, 227. Prime factorization of 12258 in exponential form is:

12258 = 21 × 33 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 12239 and 12258.

LCM(12239,12258) = 122391 × 21 × 33 × 2271
LCM(12239,12258) = 150025662