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What is the Least Common Multiple of 16760 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 16760 and 16768 is 35128960.

LCM(16760,16768) = 35128960

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Least Common Multiple of 16760 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 16760 and 16768, than apply into the LCM equation.

GCF(16760,16768) = 8
LCM(16760,16768) = ( 16760 × 16768) / 8
LCM(16760,16768) = 281031680 / 8
LCM(16760,16768) = 35128960

Least Common Multiple (LCM) of 16760 and 16768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16760 and 16768. First we will calculate the prime factors of 16760 and 16768.

Prime Factorization of 16760

Prime factors of 16760 are 2, 5, 419. Prime factorization of 16760 in exponential form is:

16760 = 23 × 51 × 4191

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 16760 and 16768.

LCM(16760,16768) = 27 × 51 × 4191 × 1311
LCM(16760,16768) = 35128960