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What is the Least Common Multiple of 16832 and 16848?

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 16832 and 16848 is 17724096.

LCM(16832,16848) = 17724096

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Least Common Multiple of 16832 and 16848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16832 and 16848, than apply into the LCM equation.

GCF(16832,16848) = 16
LCM(16832,16848) = ( 16832 × 16848) / 16
LCM(16832,16848) = 283585536 / 16
LCM(16832,16848) = 17724096

Least Common Multiple (LCM) of 16832 and 16848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16832 and 16848. First we will calculate the prime factors of 16832 and 16848.

Prime Factorization of 16832

Prime factors of 16832 are 2, 263. Prime factorization of 16832 in exponential form is:

16832 = 26 × 2631

Prime Factorization of 16848

Prime factors of 16848 are 2, 3, 13. Prime factorization of 16848 in exponential form is:

16848 = 24 × 34 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 16832 and 16848.

LCM(16832,16848) = 26 × 2631 × 34 × 131
LCM(16832,16848) = 17724096