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What is the Least Common Multiple of 18728 and 18742?

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 18728 and 18742 is 175500088.

LCM(18728,18742) = 175500088

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Least Common Multiple of 18728 and 18742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18728 and 18742, than apply into the LCM equation.

GCF(18728,18742) = 2
LCM(18728,18742) = ( 18728 × 18742) / 2
LCM(18728,18742) = 351000176 / 2
LCM(18728,18742) = 175500088

Least Common Multiple (LCM) of 18728 and 18742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18728 and 18742. First we will calculate the prime factors of 18728 and 18742.

Prime Factorization of 18728

Prime factors of 18728 are 2, 2341. Prime factorization of 18728 in exponential form is:

18728 = 23 × 23411

Prime Factorization of 18742

Prime factors of 18742 are 2, 9371. Prime factorization of 18742 in exponential form is:

18742 = 21 × 93711

Now multiplying the highest exponent prime factors to calculate the LCM of 18728 and 18742.

LCM(18728,18742) = 23 × 23411 × 93711
LCM(18728,18742) = 175500088