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What is the Least Common Multiple of 12917 and 12933?

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 12917 and 12933 is 167055561.

LCM(12917,12933) = 167055561

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Least Common Multiple of 12917 and 12933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12917 and 12933, than apply into the LCM equation.

GCF(12917,12933) = 1
LCM(12917,12933) = ( 12917 × 12933) / 1
LCM(12917,12933) = 167055561 / 1
LCM(12917,12933) = 167055561

Least Common Multiple (LCM) of 12917 and 12933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12917 and 12933. First we will calculate the prime factors of 12917 and 12933.

Prime Factorization of 12917

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

12917 = 129171

Prime Factorization of 12933

Prime factors of 12933 are 3, 479. Prime factorization of 12933 in exponential form is:

12933 = 33 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 12917 and 12933.

LCM(12917,12933) = 129171 × 33 × 4791
LCM(12917,12933) = 167055561