What is the Least Common Multiple of 16608 and 16614?

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 16614 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 16614, than apply into the LCM equation.

GCF(16608,16614) = 6
LCM(16608,16614) = ( 16608 × 16614) / 6
LCM(16608,16614) = 275925312 / 6
LCM(16608,16614) = 45987552

Least Common Multiple (LCM) of 16608 and 16614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16608 and 16614. First we will calculate the prime factors of 16608 and 16614.

Prime Factorization of 16608

Prime Factorization of 16614

Now multiplying the highest exponent prime factors to calculate the LCM of 16608 and 16614.

LCM(16608,16614) = 2⁵ × 3² × 173¹ × 13¹ × 71¹
LCM(16608,16614) = 45987552