What is the Least Common Multiple of 16608 and 16622?

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 16608 and 16622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16608 and 16622, than apply into the LCM equation.

GCF(16608,16622) = 2
LCM(16608,16622) = ( 16608 × 16622) / 2
LCM(16608,16622) = 276058176 / 2
LCM(16608,16622) = 138029088

Least Common Multiple (LCM) of 16608 and 16622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16608 and 16622. First we will calculate the prime factors of 16608 and 16622.

Prime Factorization of 16608

Prime Factorization of 16622

Now multiplying the highest exponent prime factors to calculate the LCM of 16608 and 16622.

LCM(16608,16622) = 2⁵ × 3¹ × 173¹ × 8311¹
LCM(16608,16622) = 138029088