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What is the Least Common Multiple of 16768 and 16775?

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 16768 and 16775 is 281283200.

LCM(16768,16775) = 281283200

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Least Common Multiple of 16768 and 16775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16768 and 16775, than apply into the LCM equation.

GCF(16768,16775) = 1
LCM(16768,16775) = ( 16768 × 16775) / 1
LCM(16768,16775) = 281283200 / 1
LCM(16768,16775) = 281283200

Least Common Multiple (LCM) of 16768 and 16775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16768 and 16775. First we will calculate the prime factors of 16768 and 16775.

Prime Factorization of 16768

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

16768 = 27 × 1311

Prime Factorization of 16775

Prime factors of 16775 are 5, 11, 61. Prime factorization of 16775 in exponential form is:

16775 = 52 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 16768 and 16775.

LCM(16768,16775) = 27 × 1311 × 52 × 111 × 611
LCM(16768,16775) = 281283200