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What is the Least Common Multiple of 12428 and 12445?

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 12428 and 12445 is 154666460.

LCM(12428,12445) = 154666460

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Least Common Multiple of 12428 and 12445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12428 and 12445, than apply into the LCM equation.

GCF(12428,12445) = 1
LCM(12428,12445) = ( 12428 × 12445) / 1
LCM(12428,12445) = 154666460 / 1
LCM(12428,12445) = 154666460

Least Common Multiple (LCM) of 12428 and 12445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12428 and 12445. First we will calculate the prime factors of 12428 and 12445.

Prime Factorization of 12428

Prime factors of 12428 are 2, 13, 239. Prime factorization of 12428 in exponential form is:

12428 = 22 × 131 × 2391

Prime Factorization of 12445

Prime factors of 12445 are 5, 19, 131. Prime factorization of 12445 in exponential form is:

12445 = 51 × 191 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 12428 and 12445.

LCM(12428,12445) = 22 × 131 × 2391 × 51 × 191 × 1311
LCM(12428,12445) = 154666460