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What is the Least Common Multiple of 12892 and 12911?

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 12911 is 166448612.

LCM(12892,12911) = 166448612

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Least Common Multiple of 12892 and 12911 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 12911, than apply into the LCM equation.

GCF(12892,12911) = 1
LCM(12892,12911) = ( 12892 × 12911) / 1
LCM(12892,12911) = 166448612 / 1
LCM(12892,12911) = 166448612

Least Common Multiple (LCM) of 12892 and 12911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12892 and 12911. First we will calculate the prime factors of 12892 and 12911.

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 12911

Prime factors of 12911 are 12911. Prime factorization of 12911 in exponential form is:

12911 = 129111

Now multiplying the highest exponent prime factors to calculate the LCM of 12892 and 12911.

LCM(12892,12911) = 22 × 111 × 2931 × 129111
LCM(12892,12911) = 166448612