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What is the Least Common Multiple of 12930 and 12935?

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 12935 is 33449910.

LCM(12930,12935) = 33449910

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Least Common Multiple of 12930 and 12935 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 12935, than apply into the LCM equation.

GCF(12930,12935) = 5
LCM(12930,12935) = ( 12930 × 12935) / 5
LCM(12930,12935) = 167249550 / 5
LCM(12930,12935) = 33449910

Least Common Multiple (LCM) of 12930 and 12935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12930 and 12935. First we will calculate the prime factors of 12930 and 12935.

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 12935

Prime factors of 12935 are 5, 13, 199. Prime factorization of 12935 in exponential form is:

12935 = 51 × 131 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 12930 and 12935.

LCM(12930,12935) = 21 × 31 × 51 × 4311 × 131 × 1991
LCM(12930,12935) = 33449910