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What is the Least Common Multiple of 18678 and 18684?

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 18678 and 18684 is 58163292.

LCM(18678,18684) = 58163292

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Least Common Multiple of 18678 and 18684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18678 and 18684, than apply into the LCM equation.

GCF(18678,18684) = 6
LCM(18678,18684) = ( 18678 × 18684) / 6
LCM(18678,18684) = 348979752 / 6
LCM(18678,18684) = 58163292

Least Common Multiple (LCM) of 18678 and 18684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18678 and 18684. First we will calculate the prime factors of 18678 and 18684.

Prime Factorization of 18678

Prime factors of 18678 are 2, 3, 11, 283. Prime factorization of 18678 in exponential form is:

18678 = 21 × 31 × 111 × 2831

Prime Factorization of 18684

Prime factors of 18684 are 2, 3, 173. Prime factorization of 18684 in exponential form is:

18684 = 22 × 33 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 18678 and 18684.

LCM(18678,18684) = 22 × 33 × 111 × 2831 × 1731
LCM(18678,18684) = 58163292