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What is the Least Common Multiple of 16723 and 16740?

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 16723 and 16740 is 279943020.

LCM(16723,16740) = 279943020

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Least Common Multiple of 16723 and 16740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16723 and 16740, than apply into the LCM equation.

GCF(16723,16740) = 1
LCM(16723,16740) = ( 16723 × 16740) / 1
LCM(16723,16740) = 279943020 / 1
LCM(16723,16740) = 279943020

Least Common Multiple (LCM) of 16723 and 16740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16723 and 16740. First we will calculate the prime factors of 16723 and 16740.

Prime Factorization of 16723

Prime factors of 16723 are 7, 2389. Prime factorization of 16723 in exponential form is:

16723 = 71 × 23891

Prime Factorization of 16740

Prime factors of 16740 are 2, 3, 5, 31. Prime factorization of 16740 in exponential form is:

16740 = 22 × 33 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 16723 and 16740.

LCM(16723,16740) = 71 × 23891 × 22 × 33 × 51 × 311
LCM(16723,16740) = 279943020