What is the Least Common Multiple of 33588 and 33608?

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 33588 and 33608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33588 and 33608, than apply into the LCM equation.

GCF(33588,33608) = 4
LCM(33588,33608) = ( 33588 × 33608) / 4
LCM(33588,33608) = 1128825504 / 4
LCM(33588,33608) = 282206376

Least Common Multiple (LCM) of 33588 and 33608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33588 and 33608. First we will calculate the prime factors of 33588 and 33608.

Prime Factorization of 33588

Prime Factorization of 33608

Now multiplying the highest exponent prime factors to calculate the LCM of 33588 and 33608.

LCM(33588,33608) = 2³ × 3³ × 311¹ × 4201¹
LCM(33588,33608) = 282206376