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What is the Least Common Multiple of 12280 and 12294?

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 12280 and 12294 is 75485160.

LCM(12280,12294) = 75485160

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Least Common Multiple of 12280 and 12294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12280 and 12294, than apply into the LCM equation.

GCF(12280,12294) = 2
LCM(12280,12294) = ( 12280 × 12294) / 2
LCM(12280,12294) = 150970320 / 2
LCM(12280,12294) = 75485160

Least Common Multiple (LCM) of 12280 and 12294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12280 and 12294. First we will calculate the prime factors of 12280 and 12294.

Prime Factorization of 12280

Prime factors of 12280 are 2, 5, 307. Prime factorization of 12280 in exponential form is:

12280 = 23 × 51 × 3071

Prime Factorization of 12294

Prime factors of 12294 are 2, 3, 683. Prime factorization of 12294 in exponential form is:

12294 = 21 × 32 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 12280 and 12294.

LCM(12280,12294) = 23 × 51 × 3071 × 32 × 6831
LCM(12280,12294) = 75485160