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What is the Least Common Multiple of 12935 and 12950?

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 12935 and 12950 is 33501650.

LCM(12935,12950) = 33501650

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Least Common Multiple of 12935 and 12950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12935 and 12950, than apply into the LCM equation.

GCF(12935,12950) = 5
LCM(12935,12950) = ( 12935 × 12950) / 5
LCM(12935,12950) = 167508250 / 5
LCM(12935,12950) = 33501650

Least Common Multiple (LCM) of 12935 and 12950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12935 and 12950. First we will calculate the prime factors of 12935 and 12950.

Prime Factorization of 12935

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

12935 = 51 × 131 × 1991

Prime Factorization of 12950

Prime factors of 12950 are 2, 5, 7, 37. Prime factorization of 12950 in exponential form is:

12950 = 21 × 52 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 12935 and 12950.

LCM(12935,12950) = 52 × 131 × 1991 × 21 × 71 × 371
LCM(12935,12950) = 33501650