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What is the Least Common Multiple of 12974 and 12987?

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 12974 and 12987 is 12961026.

LCM(12974,12987) = 12961026

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Least Common Multiple of 12974 and 12987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12974 and 12987, than apply into the LCM equation.

GCF(12974,12987) = 13
LCM(12974,12987) = ( 12974 × 12987) / 13
LCM(12974,12987) = 168493338 / 13
LCM(12974,12987) = 12961026

Least Common Multiple (LCM) of 12974 and 12987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12974 and 12987. First we will calculate the prime factors of 12974 and 12987.

Prime Factorization of 12974

Prime factors of 12974 are 2, 13, 499. Prime factorization of 12974 in exponential form is:

12974 = 21 × 131 × 4991

Prime Factorization of 12987

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

12987 = 33 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 12974 and 12987.

LCM(12974,12987) = 21 × 131 × 4991 × 33 × 371
LCM(12974,12987) = 12961026