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What is the Least Common Multiple of 12740 and 12745?

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 12740 and 12745 is 32474260.

LCM(12740,12745) = 32474260

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Least Common Multiple of 12740 and 12745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12740 and 12745, than apply into the LCM equation.

GCF(12740,12745) = 5
LCM(12740,12745) = ( 12740 × 12745) / 5
LCM(12740,12745) = 162371300 / 5
LCM(12740,12745) = 32474260

Least Common Multiple (LCM) of 12740 and 12745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12740 and 12745. First we will calculate the prime factors of 12740 and 12745.

Prime Factorization of 12740

Prime factors of 12740 are 2, 5, 7, 13. Prime factorization of 12740 in exponential form is:

12740 = 22 × 51 × 72 × 131

Prime Factorization of 12745

Prime factors of 12745 are 5, 2549. Prime factorization of 12745 in exponential form is:

12745 = 51 × 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 12740 and 12745.

LCM(12740,12745) = 22 × 51 × 72 × 131 × 25491
LCM(12740,12745) = 32474260