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What is the Least Common Multiple of 12225 and 12239?

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 12225 and 12239 is 149621775.

LCM(12225,12239) = 149621775

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Least Common Multiple of 12225 and 12239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12225 and 12239, than apply into the LCM equation.

GCF(12225,12239) = 1
LCM(12225,12239) = ( 12225 × 12239) / 1
LCM(12225,12239) = 149621775 / 1
LCM(12225,12239) = 149621775

Least Common Multiple (LCM) of 12225 and 12239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12225 and 12239. First we will calculate the prime factors of 12225 and 12239.

Prime Factorization of 12225

Prime factors of 12225 are 3, 5, 163. Prime factorization of 12225 in exponential form is:

12225 = 31 × 52 × 1631

Prime Factorization of 12239

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

12239 = 122391

Now multiplying the highest exponent prime factors to calculate the LCM of 12225 and 12239.

LCM(12225,12239) = 31 × 52 × 1631 × 122391
LCM(12225,12239) = 149621775