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What is the Least Common Multiple of 18632 and 18647?

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 18632 and 18647 is 347430904.

LCM(18632,18647) = 347430904

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Least Common Multiple of 18632 and 18647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18632 and 18647, than apply into the LCM equation.

GCF(18632,18647) = 1
LCM(18632,18647) = ( 18632 × 18647) / 1
LCM(18632,18647) = 347430904 / 1
LCM(18632,18647) = 347430904

Least Common Multiple (LCM) of 18632 and 18647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18632 and 18647. First we will calculate the prime factors of 18632 and 18647.

Prime Factorization of 18632

Prime factors of 18632 are 2, 17, 137. Prime factorization of 18632 in exponential form is:

18632 = 23 × 171 × 1371

Prime Factorization of 18647

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

18647 = 291 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 18632 and 18647.

LCM(18632,18647) = 23 × 171 × 1371 × 291 × 6431
LCM(18632,18647) = 347430904