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What is the Least Common Multiple of 12635 and 12655?

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 12635 and 12655 is 31979185.

LCM(12635,12655) = 31979185

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Least Common Multiple of 12635 and 12655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12635 and 12655, than apply into the LCM equation.

GCF(12635,12655) = 5
LCM(12635,12655) = ( 12635 × 12655) / 5
LCM(12635,12655) = 159895925 / 5
LCM(12635,12655) = 31979185

Least Common Multiple (LCM) of 12635 and 12655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12635 and 12655. First we will calculate the prime factors of 12635 and 12655.

Prime Factorization of 12635

Prime factors of 12635 are 5, 7, 19. Prime factorization of 12635 in exponential form is:

12635 = 51 × 71 × 192

Prime Factorization of 12655

Prime factors of 12655 are 5, 2531. Prime factorization of 12655 in exponential form is:

12655 = 51 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 12635 and 12655.

LCM(12635,12655) = 51 × 71 × 192 × 25311
LCM(12635,12655) = 31979185