What is the Least Common Multiple of 33689 and 33694?

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 of 33689 and 33694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33689 and 33694, than apply into the LCM equation.

GCF(33689,33694) = 1
LCM(33689,33694) = ( 33689 × 33694) / 1
LCM(33689,33694) = 1135117166 / 1
LCM(33689,33694) = 1135117166

Least Common Multiple (LCM) of 33689 and 33694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33689 and 33694. First we will calculate the prime factors of 33689 and 33694.

Prime Factorization of 33689

Prime Factorization of 33694

Now multiplying the highest exponent prime factors to calculate the LCM of 33689 and 33694.

LCM(33689,33694) = 59¹ × 571¹ × 2¹ × 17¹ × 991¹
LCM(33689,33694) = 1135117166