What is the Least Common Multiple of 16608 and 16628?

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 16628 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 16628, than apply into the LCM equation.

GCF(16608,16628) = 4
LCM(16608,16628) = ( 16608 × 16628) / 4
LCM(16608,16628) = 276157824 / 4
LCM(16608,16628) = 69039456

Least Common Multiple (LCM) of 16608 and 16628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16608 and 16628. First we will calculate the prime factors of 16608 and 16628.

Prime Factorization of 16608

Prime Factorization of 16628

Now multiplying the highest exponent prime factors to calculate the LCM of 16608 and 16628.

LCM(16608,16628) = 2⁵ × 3¹ × 173¹ × 4157¹
LCM(16608,16628) = 69039456