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What is the Least Common Multiple of 12892 and 12912?

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 12892 and 12912 is 41615376.

LCM(12892,12912) = 41615376

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Least Common Multiple of 12892 and 12912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12892 and 12912, than apply into the LCM equation.

GCF(12892,12912) = 4
LCM(12892,12912) = ( 12892 × 12912) / 4
LCM(12892,12912) = 166461504 / 4
LCM(12892,12912) = 41615376

Least Common Multiple (LCM) of 12892 and 12912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12892 and 12912. First we will calculate the prime factors of 12892 and 12912.

Prime Factorization of 12892

Prime factors of 12892 are 2, 11, 293. Prime factorization of 12892 in exponential form is:

12892 = 22 × 111 × 2931

Prime Factorization of 12912

Prime factors of 12912 are 2, 3, 269. Prime factorization of 12912 in exponential form is:

12912 = 24 × 31 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 12892 and 12912.

LCM(12892,12912) = 24 × 111 × 2931 × 31 × 2691
LCM(12892,12912) = 41615376