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What is the Least Common Multiple of 18668 and 18674?

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 18668 and 18674 is 174303116.

LCM(18668,18674) = 174303116

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Least Common Multiple of 18668 and 18674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18668 and 18674, than apply into the LCM equation.

GCF(18668,18674) = 2
LCM(18668,18674) = ( 18668 × 18674) / 2
LCM(18668,18674) = 348606232 / 2
LCM(18668,18674) = 174303116

Least Common Multiple (LCM) of 18668 and 18674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18668 and 18674. First we will calculate the prime factors of 18668 and 18674.

Prime Factorization of 18668

Prime factors of 18668 are 2, 13, 359. Prime factorization of 18668 in exponential form is:

18668 = 22 × 131 × 3591

Prime Factorization of 18674

Prime factors of 18674 are 2, 9337. Prime factorization of 18674 in exponential form is:

18674 = 21 × 93371

Now multiplying the highest exponent prime factors to calculate the LCM of 18668 and 18674.

LCM(18668,18674) = 22 × 131 × 3591 × 93371
LCM(18668,18674) = 174303116