What is the Least Common Multiple of 33608 and 33628?

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 33608 and 33628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33608 and 33628, than apply into the LCM equation.

GCF(33608,33628) = 4
LCM(33608,33628) = ( 33608 × 33628) / 4
LCM(33608,33628) = 1130169824 / 4
LCM(33608,33628) = 282542456

Least Common Multiple (LCM) of 33608 and 33628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33608 and 33628. First we will calculate the prime factors of 33608 and 33628.

Prime Factorization of 33608

Prime Factorization of 33628

Now multiplying the highest exponent prime factors to calculate the LCM of 33608 and 33628.

LCM(33608,33628) = 2³ × 4201¹ × 7¹ × 1201¹
LCM(33608,33628) = 282542456