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What is the Least Common Multiple of 18553 and 18563?

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 18553 and 18563 is 344399339.

LCM(18553,18563) = 344399339

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Least Common Multiple of 18553 and 18563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18553 and 18563, than apply into the LCM equation.

GCF(18553,18563) = 1
LCM(18553,18563) = ( 18553 × 18563) / 1
LCM(18553,18563) = 344399339 / 1
LCM(18553,18563) = 344399339

Least Common Multiple (LCM) of 18553 and 18563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18553 and 18563. First we will calculate the prime factors of 18553 and 18563.

Prime Factorization of 18553

Prime factors of 18553 are 18553. Prime factorization of 18553 in exponential form is:

18553 = 185531

Prime Factorization of 18563

Prime factors of 18563 are 19, 977. Prime factorization of 18563 in exponential form is:

18563 = 191 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 18553 and 18563.

LCM(18553,18563) = 185531 × 191 × 9771
LCM(18553,18563) = 344399339