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What is the Least Common Multiple of 16755 and 16768?

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 16755 and 16768 is 280947840.

LCM(16755,16768) = 280947840

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Least Common Multiple of 16755 and 16768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16755 and 16768, than apply into the LCM equation.

GCF(16755,16768) = 1
LCM(16755,16768) = ( 16755 × 16768) / 1
LCM(16755,16768) = 280947840 / 1
LCM(16755,16768) = 280947840

Least Common Multiple (LCM) of 16755 and 16768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16755 and 16768. First we will calculate the prime factors of 16755 and 16768.

Prime Factorization of 16755

Prime factors of 16755 are 3, 5, 1117. Prime factorization of 16755 in exponential form is:

16755 = 31 × 51 × 11171

Prime Factorization of 16768

Prime factors of 16768 are 2, 131. Prime factorization of 16768 in exponential form is:

16768 = 27 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 16755 and 16768.

LCM(16755,16768) = 31 × 51 × 11171 × 27 × 1311
LCM(16755,16768) = 280947840