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What is the Least Common Multiple of 12923 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 12923 and 12933 is 167133159.

LCM(12923,12933) = 167133159

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Least Common Multiple of 12923 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 12923 and 12933, than apply into the LCM equation.

GCF(12923,12933) = 1
LCM(12923,12933) = ( 12923 × 12933) / 1
LCM(12923,12933) = 167133159 / 1
LCM(12923,12933) = 167133159

Least Common Multiple (LCM) of 12923 and 12933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12923 and 12933. First we will calculate the prime factors of 12923 and 12933.

Prime Factorization of 12923

Prime factors of 12923 are 12923. Prime factorization of 12923 in exponential form is:

12923 = 129231

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 12923 and 12933.

LCM(12923,12933) = 129231 × 33 × 4791
LCM(12923,12933) = 167133159