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What is the Least Common Multiple of 18704 and 18714?

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 18704 and 18714 is 175013328.

LCM(18704,18714) = 175013328

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Least Common Multiple of 18704 and 18714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18704 and 18714, than apply into the LCM equation.

GCF(18704,18714) = 2
LCM(18704,18714) = ( 18704 × 18714) / 2
LCM(18704,18714) = 350026656 / 2
LCM(18704,18714) = 175013328

Least Common Multiple (LCM) of 18704 and 18714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18704 and 18714. First we will calculate the prime factors of 18704 and 18714.

Prime Factorization of 18704

Prime factors of 18704 are 2, 7, 167. Prime factorization of 18704 in exponential form is:

18704 = 24 × 71 × 1671

Prime Factorization of 18714

Prime factors of 18714 are 2, 3, 3119. Prime factorization of 18714 in exponential form is:

18714 = 21 × 31 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 18704 and 18714.

LCM(18704,18714) = 24 × 71 × 1671 × 31 × 31191
LCM(18704,18714) = 175013328