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What is the Least Common Multiple of 12500 and 12515?

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 12500 and 12515 is 31287500.

LCM(12500,12515) = 31287500

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Least Common Multiple of 12500 and 12515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12500 and 12515, than apply into the LCM equation.

GCF(12500,12515) = 5
LCM(12500,12515) = ( 12500 × 12515) / 5
LCM(12500,12515) = 156437500 / 5
LCM(12500,12515) = 31287500

Least Common Multiple (LCM) of 12500 and 12515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12500 and 12515. First we will calculate the prime factors of 12500 and 12515.

Prime Factorization of 12500

Prime factors of 12500 are 2, 5. Prime factorization of 12500 in exponential form is:

12500 = 22 × 55

Prime Factorization of 12515

Prime factors of 12515 are 5, 2503. Prime factorization of 12515 in exponential form is:

12515 = 51 × 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 12500 and 12515.

LCM(12500,12515) = 22 × 55 × 25031
LCM(12500,12515) = 31287500