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What is the Least Common Multiple of 12278 and 12296?

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 12278 and 12296 is 75485144.

LCM(12278,12296) = 75485144

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Least Common Multiple of 12278 and 12296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12278 and 12296, than apply into the LCM equation.

GCF(12278,12296) = 2
LCM(12278,12296) = ( 12278 × 12296) / 2
LCM(12278,12296) = 150970288 / 2
LCM(12278,12296) = 75485144

Least Common Multiple (LCM) of 12278 and 12296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12278 and 12296. First we will calculate the prime factors of 12278 and 12296.

Prime Factorization of 12278

Prime factors of 12278 are 2, 7, 877. Prime factorization of 12278 in exponential form is:

12278 = 21 × 71 × 8771

Prime Factorization of 12296

Prime factors of 12296 are 2, 29, 53. Prime factorization of 12296 in exponential form is:

12296 = 23 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 12278 and 12296.

LCM(12278,12296) = 23 × 71 × 8771 × 291 × 531
LCM(12278,12296) = 75485144