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What is the Least Common Multiple of 18647 and 18667?

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 18647 and 18667 is 348083549.

LCM(18647,18667) = 348083549

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Least Common Multiple of 18647 and 18667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18647 and 18667, than apply into the LCM equation.

GCF(18647,18667) = 1
LCM(18647,18667) = ( 18647 × 18667) / 1
LCM(18647,18667) = 348083549 / 1
LCM(18647,18667) = 348083549

Least Common Multiple (LCM) of 18647 and 18667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18647 and 18667. First we will calculate the prime factors of 18647 and 18667.

Prime Factorization of 18647

Prime factors of 18647 are 29, 643. Prime factorization of 18647 in exponential form is:

18647 = 291 × 6431

Prime Factorization of 18667

Prime factors of 18667 are 11, 1697. Prime factorization of 18667 in exponential form is:

18667 = 111 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 18647 and 18667.

LCM(18647,18667) = 291 × 6431 × 111 × 16971
LCM(18647,18667) = 348083549