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What is the Least Common Multiple of 12935 and 12940?

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 12940 is 33475780.

LCM(12935,12940) = 33475780

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Least Common Multiple of 12935 and 12940 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 12940, than apply into the LCM equation.

GCF(12935,12940) = 5
LCM(12935,12940) = ( 12935 × 12940) / 5
LCM(12935,12940) = 167378900 / 5
LCM(12935,12940) = 33475780

Least Common Multiple (LCM) of 12935 and 12940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12935 and 12940. First we will calculate the prime factors of 12935 and 12940.

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 12940

Prime factors of 12940 are 2, 5, 647. Prime factorization of 12940 in exponential form is:

12940 = 22 × 51 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 12935 and 12940.

LCM(12935,12940) = 51 × 131 × 1991 × 22 × 6471
LCM(12935,12940) = 33475780