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What is the Least Common Multiple of 12901 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 12901 and 12911 is 166564811.

LCM(12901,12911) = 166564811

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Least Common Multiple of 12901 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 12901 and 12911, than apply into the LCM equation.

GCF(12901,12911) = 1
LCM(12901,12911) = ( 12901 × 12911) / 1
LCM(12901,12911) = 166564811 / 1
LCM(12901,12911) = 166564811

Least Common Multiple (LCM) of 12901 and 12911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12901 and 12911. First we will calculate the prime factors of 12901 and 12911.

Prime Factorization of 12901

Prime factors of 12901 are 7, 19, 97. Prime factorization of 12901 in exponential form is:

12901 = 71 × 191 × 971

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 12901 and 12911.

LCM(12901,12911) = 71 × 191 × 971 × 129111
LCM(12901,12911) = 166564811