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What is the Least Common Multiple of 18232 and 18242?

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 18232 and 18242 is 166294072.

LCM(18232,18242) = 166294072

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Least Common Multiple of 18232 and 18242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18232 and 18242, than apply into the LCM equation.

GCF(18232,18242) = 2
LCM(18232,18242) = ( 18232 × 18242) / 2
LCM(18232,18242) = 332588144 / 2
LCM(18232,18242) = 166294072

Least Common Multiple (LCM) of 18232 and 18242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18232 and 18242. First we will calculate the prime factors of 18232 and 18242.

Prime Factorization of 18232

Prime factors of 18232 are 2, 43, 53. Prime factorization of 18232 in exponential form is:

18232 = 23 × 431 × 531

Prime Factorization of 18242

Prime factors of 18242 are 2, 7, 1303. Prime factorization of 18242 in exponential form is:

18242 = 21 × 71 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 18232 and 18242.

LCM(18232,18242) = 23 × 431 × 531 × 71 × 13031
LCM(18232,18242) = 166294072