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What is the Least Common Multiple of 12245 and 12256?

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 12245 and 12256 is 150074720.

LCM(12245,12256) = 150074720

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Least Common Multiple of 12245 and 12256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12245 and 12256, than apply into the LCM equation.

GCF(12245,12256) = 1
LCM(12245,12256) = ( 12245 × 12256) / 1
LCM(12245,12256) = 150074720 / 1
LCM(12245,12256) = 150074720

Least Common Multiple (LCM) of 12245 and 12256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12245 and 12256. First we will calculate the prime factors of 12245 and 12256.

Prime Factorization of 12245

Prime factors of 12245 are 5, 31, 79. Prime factorization of 12245 in exponential form is:

12245 = 51 × 311 × 791

Prime Factorization of 12256

Prime factors of 12256 are 2, 383. Prime factorization of 12256 in exponential form is:

12256 = 25 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 12245 and 12256.

LCM(12245,12256) = 51 × 311 × 791 × 25 × 3831
LCM(12245,12256) = 150074720