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What is the Least Common Multiple of 12239 and 12244?

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 12244 is 149854316.

LCM(12239,12244) = 149854316

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Least Common Multiple of 12239 and 12244 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 12244, than apply into the LCM equation.

GCF(12239,12244) = 1
LCM(12239,12244) = ( 12239 × 12244) / 1
LCM(12239,12244) = 149854316 / 1
LCM(12239,12244) = 149854316

Least Common Multiple (LCM) of 12239 and 12244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12239 and 12244. First we will calculate the prime factors of 12239 and 12244.

Prime Factorization of 12239

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

12239 = 122391

Prime Factorization of 12244

Prime factors of 12244 are 2, 3061. Prime factorization of 12244 in exponential form is:

12244 = 22 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 12239 and 12244.

LCM(12239,12244) = 122391 × 22 × 30611
LCM(12239,12244) = 149854316