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What is the Least Common Multiple of 16928 and 16948?

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 16928 and 16948 is 71723936.

LCM(16928,16948) = 71723936

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Least Common Multiple of 16928 and 16948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16928 and 16948, than apply into the LCM equation.

GCF(16928,16948) = 4
LCM(16928,16948) = ( 16928 × 16948) / 4
LCM(16928,16948) = 286895744 / 4
LCM(16928,16948) = 71723936

Least Common Multiple (LCM) of 16928 and 16948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16928 and 16948. First we will calculate the prime factors of 16928 and 16948.

Prime Factorization of 16928

Prime factors of 16928 are 2, 23. Prime factorization of 16928 in exponential form is:

16928 = 25 × 232

Prime Factorization of 16948

Prime factors of 16948 are 2, 19, 223. Prime factorization of 16948 in exponential form is:

16948 = 22 × 191 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 16928 and 16948.

LCM(16928,16948) = 25 × 232 × 191 × 2231
LCM(16928,16948) = 71723936