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What is the Least Common Multiple of 18162 and 18168?

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 18162 and 18168 is 54994536.

LCM(18162,18168) = 54994536

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Least Common Multiple of 18162 and 18168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18162 and 18168, than apply into the LCM equation.

GCF(18162,18168) = 6
LCM(18162,18168) = ( 18162 × 18168) / 6
LCM(18162,18168) = 329967216 / 6
LCM(18162,18168) = 54994536

Least Common Multiple (LCM) of 18162 and 18168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18162 and 18168. First we will calculate the prime factors of 18162 and 18168.

Prime Factorization of 18162

Prime factors of 18162 are 2, 3, 1009. Prime factorization of 18162 in exponential form is:

18162 = 21 × 32 × 10091

Prime Factorization of 18168

Prime factors of 18168 are 2, 3, 757. Prime factorization of 18168 in exponential form is:

18168 = 23 × 31 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 18162 and 18168.

LCM(18162,18168) = 23 × 32 × 10091 × 7571
LCM(18162,18168) = 54994536