GCF and LCM Calculator Logo

What is the Least Common Multiple of 17689 and 17708?

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 17689 and 17708 is 16486148.

LCM(17689,17708) = 16486148

LCM Calculator and
and

Least Common Multiple of 17689 and 17708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17689 and 17708, than apply into the LCM equation.

GCF(17689,17708) = 19
LCM(17689,17708) = ( 17689 × 17708) / 19
LCM(17689,17708) = 313236812 / 19
LCM(17689,17708) = 16486148

Least Common Multiple (LCM) of 17689 and 17708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17689 and 17708. First we will calculate the prime factors of 17689 and 17708.

Prime Factorization of 17689

Prime factors of 17689 are 7, 19. Prime factorization of 17689 in exponential form is:

17689 = 72 × 192

Prime Factorization of 17708

Prime factors of 17708 are 2, 19, 233. Prime factorization of 17708 in exponential form is:

17708 = 22 × 191 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 17689 and 17708.

LCM(17689,17708) = 72 × 192 × 22 × 2331
LCM(17689,17708) = 16486148