GCF and LCM Calculator Logo

What is the Least Common Multiple of 16959 and 16967?

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 16959 and 16967 is 287743353.

LCM(16959,16967) = 287743353

LCM Calculator and
and

Least Common Multiple of 16959 and 16967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16959 and 16967, than apply into the LCM equation.

GCF(16959,16967) = 1
LCM(16959,16967) = ( 16959 × 16967) / 1
LCM(16959,16967) = 287743353 / 1
LCM(16959,16967) = 287743353

Least Common Multiple (LCM) of 16959 and 16967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16959 and 16967. First we will calculate the prime factors of 16959 and 16967.

Prime Factorization of 16959

Prime factors of 16959 are 3, 5653. Prime factorization of 16959 in exponential form is:

16959 = 31 × 56531

Prime Factorization of 16967

Prime factors of 16967 are 19, 47. Prime factorization of 16967 in exponential form is:

16967 = 192 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 16959 and 16967.

LCM(16959,16967) = 31 × 56531 × 192 × 471
LCM(16959,16967) = 287743353