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What is the Least Common Multiple of 18418 and 18428?

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 18418 and 18428 is 169703452.

LCM(18418,18428) = 169703452

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Least Common Multiple of 18418 and 18428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18418 and 18428, than apply into the LCM equation.

GCF(18418,18428) = 2
LCM(18418,18428) = ( 18418 × 18428) / 2
LCM(18418,18428) = 339406904 / 2
LCM(18418,18428) = 169703452

Least Common Multiple (LCM) of 18418 and 18428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18418 and 18428. First we will calculate the prime factors of 18418 and 18428.

Prime Factorization of 18418

Prime factors of 18418 are 2, 9209. Prime factorization of 18418 in exponential form is:

18418 = 21 × 92091

Prime Factorization of 18428

Prime factors of 18428 are 2, 17, 271. Prime factorization of 18428 in exponential form is:

18428 = 22 × 171 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 18418 and 18428.

LCM(18418,18428) = 22 × 92091 × 171 × 2711
LCM(18418,18428) = 169703452