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What is the Least Common Multiple of 12915 and 12926?

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 12915 and 12926 is 166939290.

LCM(12915,12926) = 166939290

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Least Common Multiple of 12915 and 12926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12915 and 12926, than apply into the LCM equation.

GCF(12915,12926) = 1
LCM(12915,12926) = ( 12915 × 12926) / 1
LCM(12915,12926) = 166939290 / 1
LCM(12915,12926) = 166939290

Least Common Multiple (LCM) of 12915 and 12926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12915 and 12926. First we will calculate the prime factors of 12915 and 12926.

Prime Factorization of 12915

Prime factors of 12915 are 3, 5, 7, 41. Prime factorization of 12915 in exponential form is:

12915 = 32 × 51 × 71 × 411

Prime Factorization of 12926

Prime factors of 12926 are 2, 23, 281. Prime factorization of 12926 in exponential form is:

12926 = 21 × 231 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 12915 and 12926.

LCM(12915,12926) = 32 × 51 × 71 × 411 × 21 × 231 × 2811
LCM(12915,12926) = 166939290