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What is the Least Common Multiple of 16829 and 16840?

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 16829 and 16840 is 283400360.

LCM(16829,16840) = 283400360

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Least Common Multiple of 16829 and 16840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16829 and 16840, than apply into the LCM equation.

GCF(16829,16840) = 1
LCM(16829,16840) = ( 16829 × 16840) / 1
LCM(16829,16840) = 283400360 / 1
LCM(16829,16840) = 283400360

Least Common Multiple (LCM) of 16829 and 16840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16829 and 16840. First we will calculate the prime factors of 16829 and 16840.

Prime Factorization of 16829

Prime factors of 16829 are 16829. Prime factorization of 16829 in exponential form is:

16829 = 168291

Prime Factorization of 16840

Prime factors of 16840 are 2, 5, 421. Prime factorization of 16840 in exponential form is:

16840 = 23 × 51 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 16829 and 16840.

LCM(16829,16840) = 168291 × 23 × 51 × 4211
LCM(16829,16840) = 283400360