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What is the Least Common Multiple of 12903 and 12915?

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 12903 and 12915 is 55547415.

LCM(12903,12915) = 55547415

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Least Common Multiple of 12903 and 12915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12903 and 12915, than apply into the LCM equation.

GCF(12903,12915) = 3
LCM(12903,12915) = ( 12903 × 12915) / 3
LCM(12903,12915) = 166642245 / 3
LCM(12903,12915) = 55547415

Least Common Multiple (LCM) of 12903 and 12915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12903 and 12915. First we will calculate the prime factors of 12903 and 12915.

Prime Factorization of 12903

Prime factors of 12903 are 3, 11, 17, 23. Prime factorization of 12903 in exponential form is:

12903 = 31 × 111 × 171 × 231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 12903 and 12915.

LCM(12903,12915) = 32 × 111 × 171 × 231 × 51 × 71 × 411
LCM(12903,12915) = 55547415