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What is the Least Common Multiple of 17863 and 17872?

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 17863 and 17872 is 319247536.

LCM(17863,17872) = 319247536

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Least Common Multiple of 17863 and 17872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17863 and 17872, than apply into the LCM equation.

GCF(17863,17872) = 1
LCM(17863,17872) = ( 17863 × 17872) / 1
LCM(17863,17872) = 319247536 / 1
LCM(17863,17872) = 319247536

Least Common Multiple (LCM) of 17863 and 17872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17863 and 17872. First we will calculate the prime factors of 17863 and 17872.

Prime Factorization of 17863

Prime factors of 17863 are 17863. Prime factorization of 17863 in exponential form is:

17863 = 178631

Prime Factorization of 17872

Prime factors of 17872 are 2, 1117. Prime factorization of 17872 in exponential form is:

17872 = 24 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 17863 and 17872.

LCM(17863,17872) = 178631 × 24 × 11171
LCM(17863,17872) = 319247536