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What is the Least Common Multiple of 17979 and 17999?

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 17979 and 17999 is 323604021.

LCM(17979,17999) = 323604021

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Least Common Multiple of 17979 and 17999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17979 and 17999, than apply into the LCM equation.

GCF(17979,17999) = 1
LCM(17979,17999) = ( 17979 × 17999) / 1
LCM(17979,17999) = 323604021 / 1
LCM(17979,17999) = 323604021

Least Common Multiple (LCM) of 17979 and 17999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17979 and 17999. First we will calculate the prime factors of 17979 and 17999.

Prime Factorization of 17979

Prime factors of 17979 are 3, 13, 461. Prime factorization of 17979 in exponential form is:

17979 = 31 × 131 × 4611

Prime Factorization of 17999

Prime factors of 17999 are 41, 439. Prime factorization of 17999 in exponential form is:

17999 = 411 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 17979 and 17999.

LCM(17979,17999) = 31 × 131 × 4611 × 411 × 4391
LCM(17979,17999) = 323604021