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What is the Least Common Multiple of 12634 and 12650?

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 12634 and 12650 is 79910050.

LCM(12634,12650) = 79910050

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Least Common Multiple of 12634 and 12650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12634 and 12650, than apply into the LCM equation.

GCF(12634,12650) = 2
LCM(12634,12650) = ( 12634 × 12650) / 2
LCM(12634,12650) = 159820100 / 2
LCM(12634,12650) = 79910050

Least Common Multiple (LCM) of 12634 and 12650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12634 and 12650. First we will calculate the prime factors of 12634 and 12650.

Prime Factorization of 12634

Prime factors of 12634 are 2, 6317. Prime factorization of 12634 in exponential form is:

12634 = 21 × 63171

Prime Factorization of 12650

Prime factors of 12650 are 2, 5, 11, 23. Prime factorization of 12650 in exponential form is:

12650 = 21 × 52 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 12634 and 12650.

LCM(12634,12650) = 21 × 63171 × 52 × 111 × 231
LCM(12634,12650) = 79910050