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What is the Least Common Multiple of 12663 and 12667?

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 12663 and 12667 is 160402221.

LCM(12663,12667) = 160402221

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Least Common Multiple of 12663 and 12667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12663 and 12667, than apply into the LCM equation.

GCF(12663,12667) = 1
LCM(12663,12667) = ( 12663 × 12667) / 1
LCM(12663,12667) = 160402221 / 1
LCM(12663,12667) = 160402221

Least Common Multiple (LCM) of 12663 and 12667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12663 and 12667. First we will calculate the prime factors of 12663 and 12667.

Prime Factorization of 12663

Prime factors of 12663 are 3, 7, 67. Prime factorization of 12663 in exponential form is:

12663 = 33 × 71 × 671

Prime Factorization of 12667

Prime factors of 12667 are 53, 239. Prime factorization of 12667 in exponential form is:

12667 = 531 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 12663 and 12667.

LCM(12663,12667) = 33 × 71 × 671 × 531 × 2391
LCM(12663,12667) = 160402221