What is the Least Common Multiple of 33706 and 33716?

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 33706 and 33716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33706 and 33716, than apply into the LCM equation.

GCF(33706,33716) = 2
LCM(33706,33716) = ( 33706 × 33716) / 2
LCM(33706,33716) = 1136431496 / 2
LCM(33706,33716) = 568215748

Least Common Multiple (LCM) of 33706 and 33716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33706 and 33716. First we will calculate the prime factors of 33706 and 33716.

Prime Factorization of 33706

Prime Factorization of 33716

Now multiplying the highest exponent prime factors to calculate the LCM of 33706 and 33716.

LCM(33706,33716) = 2² × 19¹ × 887¹ × 8429¹
LCM(33706,33716) = 568215748