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What is the Least Common Multiple of 16928 and 16936?

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 16936 is 35836576.

LCM(16928,16936) = 35836576

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Least Common Multiple of 16928 and 16936 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 16936, than apply into the LCM equation.

GCF(16928,16936) = 8
LCM(16928,16936) = ( 16928 × 16936) / 8
LCM(16928,16936) = 286692608 / 8
LCM(16928,16936) = 35836576

Least Common Multiple (LCM) of 16928 and 16936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16928 and 16936. First we will calculate the prime factors of 16928 and 16936.

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 16936

Prime factors of 16936 are 2, 29, 73. Prime factorization of 16936 in exponential form is:

16936 = 23 × 291 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 16928 and 16936.

LCM(16928,16936) = 25 × 232 × 291 × 731
LCM(16928,16936) = 35836576