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What is the Least Common Multiple of 12987 and 13003?

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 12987 and 13003 is 168869961.

LCM(12987,13003) = 168869961

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Least Common Multiple of 12987 and 13003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12987 and 13003, than apply into the LCM equation.

GCF(12987,13003) = 1
LCM(12987,13003) = ( 12987 × 13003) / 1
LCM(12987,13003) = 168869961 / 1
LCM(12987,13003) = 168869961

Least Common Multiple (LCM) of 12987 and 13003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12987 and 13003. First we will calculate the prime factors of 12987 and 13003.

Prime Factorization of 12987

Prime factors of 12987 are 3, 13, 37. Prime factorization of 12987 in exponential form is:

12987 = 33 × 131 × 371

Prime Factorization of 13003

Prime factors of 13003 are 13003. Prime factorization of 13003 in exponential form is:

13003 = 130031

Now multiplying the highest exponent prime factors to calculate the LCM of 12987 and 13003.

LCM(12987,13003) = 33 × 131 × 371 × 130031
LCM(12987,13003) = 168869961