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What is the Least Common Multiple of 12919 and 12930?

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 12919 and 12930 is 167042670.

LCM(12919,12930) = 167042670

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Least Common Multiple of 12919 and 12930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12919 and 12930, than apply into the LCM equation.

GCF(12919,12930) = 1
LCM(12919,12930) = ( 12919 × 12930) / 1
LCM(12919,12930) = 167042670 / 1
LCM(12919,12930) = 167042670

Least Common Multiple (LCM) of 12919 and 12930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12919 and 12930. First we will calculate the prime factors of 12919 and 12930.

Prime Factorization of 12919

Prime factors of 12919 are 12919. Prime factorization of 12919 in exponential form is:

12919 = 129191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12919 and 12930.

LCM(12919,12930) = 129191 × 21 × 31 × 51 × 4311
LCM(12919,12930) = 167042670