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What is the Least Common Multiple of 18318 and 18334?

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 18318 and 18334 is 167921106.

LCM(18318,18334) = 167921106

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Least Common Multiple of 18318 and 18334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18318 and 18334, than apply into the LCM equation.

GCF(18318,18334) = 2
LCM(18318,18334) = ( 18318 × 18334) / 2
LCM(18318,18334) = 335842212 / 2
LCM(18318,18334) = 167921106

Least Common Multiple (LCM) of 18318 and 18334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18318 and 18334. First we will calculate the prime factors of 18318 and 18334.

Prime Factorization of 18318

Prime factors of 18318 are 2, 3, 43, 71. Prime factorization of 18318 in exponential form is:

18318 = 21 × 31 × 431 × 711

Prime Factorization of 18334

Prime factors of 18334 are 2, 89, 103. Prime factorization of 18334 in exponential form is:

18334 = 21 × 891 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 18318 and 18334.

LCM(18318,18334) = 21 × 31 × 431 × 711 × 891 × 1031
LCM(18318,18334) = 167921106