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What is the Least Common Multiple of 12792 and 12800?

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 12792 and 12800 is 20467200.

LCM(12792,12800) = 20467200

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Least Common Multiple of 12792 and 12800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12792 and 12800, than apply into the LCM equation.

GCF(12792,12800) = 8
LCM(12792,12800) = ( 12792 × 12800) / 8
LCM(12792,12800) = 163737600 / 8
LCM(12792,12800) = 20467200

Least Common Multiple (LCM) of 12792 and 12800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12792 and 12800. First we will calculate the prime factors of 12792 and 12800.

Prime Factorization of 12792

Prime factors of 12792 are 2, 3, 13, 41. Prime factorization of 12792 in exponential form is:

12792 = 23 × 31 × 131 × 411

Prime Factorization of 12800

Prime factors of 12800 are 2, 5. Prime factorization of 12800 in exponential form is:

12800 = 29 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 12792 and 12800.

LCM(12792,12800) = 29 × 31 × 131 × 411 × 52
LCM(12792,12800) = 20467200