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What is the Least Common Multiple of 12930 and 12944?

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 12930 and 12944 is 83682960.

LCM(12930,12944) = 83682960

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Least Common Multiple of 12930 and 12944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12930 and 12944, than apply into the LCM equation.

GCF(12930,12944) = 2
LCM(12930,12944) = ( 12930 × 12944) / 2
LCM(12930,12944) = 167365920 / 2
LCM(12930,12944) = 83682960

Least Common Multiple (LCM) of 12930 and 12944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12930 and 12944. First we will calculate the prime factors of 12930 and 12944.

Prime Factorization of 12930

Prime factors of 12930 are 2, 3, 5, 431. Prime factorization of 12930 in exponential form is:

12930 = 21 × 31 × 51 × 4311

Prime Factorization of 12944

Prime factors of 12944 are 2, 809. Prime factorization of 12944 in exponential form is:

12944 = 24 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 12930 and 12944.

LCM(12930,12944) = 24 × 31 × 51 × 4311 × 8091
LCM(12930,12944) = 83682960