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What is the Least Common Multiple of 12792 and 12808?

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 12808 is 20479992.

LCM(12792,12808) = 20479992

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Least Common Multiple of 12792 and 12808 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 12808, than apply into the LCM equation.

GCF(12792,12808) = 8
LCM(12792,12808) = ( 12792 × 12808) / 8
LCM(12792,12808) = 163839936 / 8
LCM(12792,12808) = 20479992

Least Common Multiple (LCM) of 12792 and 12808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12792 and 12808. First we will calculate the prime factors of 12792 and 12808.

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 12808

Prime factors of 12808 are 2, 1601. Prime factorization of 12808 in exponential form is:

12808 = 23 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 12792 and 12808.

LCM(12792,12808) = 23 × 31 × 131 × 411 × 16011
LCM(12792,12808) = 20479992