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What is the Least Common Multiple of 12901 and 12917?

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 12917 is 166642217.

LCM(12901,12917) = 166642217

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Least Common Multiple of 12901 and 12917 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 12917, than apply into the LCM equation.

GCF(12901,12917) = 1
LCM(12901,12917) = ( 12901 × 12917) / 1
LCM(12901,12917) = 166642217 / 1
LCM(12901,12917) = 166642217

Least Common Multiple (LCM) of 12901 and 12917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12901 and 12917. First we will calculate the prime factors of 12901 and 12917.

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 12917

Prime factors of 12917 are 12917. Prime factorization of 12917 in exponential form is:

12917 = 129171

Now multiplying the highest exponent prime factors to calculate the LCM of 12901 and 12917.

LCM(12901,12917) = 71 × 191 × 971 × 129171
LCM(12901,12917) = 166642217