What is the Least Common Multiple of 16608 and 16616?

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 16616 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 16616, than apply into the LCM equation.

GCF(16608,16616) = 8
LCM(16608,16616) = ( 16608 × 16616) / 8
LCM(16608,16616) = 275958528 / 8
LCM(16608,16616) = 34494816

Least Common Multiple (LCM) of 16608 and 16616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16608 and 16616. First we will calculate the prime factors of 16608 and 16616.

Prime Factorization of 16608

Prime Factorization of 16616

Now multiplying the highest exponent prime factors to calculate the LCM of 16608 and 16616.

LCM(16608,16616) = 2⁵ × 3¹ × 173¹ × 31¹ × 67¹
LCM(16608,16616) = 34494816