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What is the Least Common Multiple of 12632 and 12648?

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 12632 and 12648 is 19971192.

LCM(12632,12648) = 19971192

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Least Common Multiple of 12632 and 12648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12632 and 12648, than apply into the LCM equation.

GCF(12632,12648) = 8
LCM(12632,12648) = ( 12632 × 12648) / 8
LCM(12632,12648) = 159769536 / 8
LCM(12632,12648) = 19971192

Least Common Multiple (LCM) of 12632 and 12648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12632 and 12648. First we will calculate the prime factors of 12632 and 12648.

Prime Factorization of 12632

Prime factors of 12632 are 2, 1579. Prime factorization of 12632 in exponential form is:

12632 = 23 × 15791

Prime Factorization of 12648

Prime factors of 12648 are 2, 3, 17, 31. Prime factorization of 12648 in exponential form is:

12648 = 23 × 31 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 12632 and 12648.

LCM(12632,12648) = 23 × 15791 × 31 × 171 × 311
LCM(12632,12648) = 19971192