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What is the Least Common Multiple of 16943 and 16960?

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 16943 and 16960 is 287353280.

LCM(16943,16960) = 287353280

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Least Common Multiple of 16943 and 16960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16943 and 16960, than apply into the LCM equation.

GCF(16943,16960) = 1
LCM(16943,16960) = ( 16943 × 16960) / 1
LCM(16943,16960) = 287353280 / 1
LCM(16943,16960) = 287353280

Least Common Multiple (LCM) of 16943 and 16960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16943 and 16960. First we will calculate the prime factors of 16943 and 16960.

Prime Factorization of 16943

Prime factors of 16943 are 16943. Prime factorization of 16943 in exponential form is:

16943 = 169431

Prime Factorization of 16960

Prime factors of 16960 are 2, 5, 53. Prime factorization of 16960 in exponential form is:

16960 = 26 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 16943 and 16960.

LCM(16943,16960) = 169431 × 26 × 51 × 531
LCM(16943,16960) = 287353280