What is the Least Common Multiple of 16416 and 16434?

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 16416 and 16434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16416 and 16434, than apply into the LCM equation.

GCF(16416,16434) = 18
LCM(16416,16434) = ( 16416 × 16434) / 18
LCM(16416,16434) = 269780544 / 18
LCM(16416,16434) = 14987808

Least Common Multiple (LCM) of 16416 and 16434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16416 and 16434. First we will calculate the prime factors of 16416 and 16434.

Prime Factorization of 16416

Prime Factorization of 16434

Now multiplying the highest exponent prime factors to calculate the LCM of 16416 and 16434.

LCM(16416,16434) = 2⁵ × 3³ × 19¹ × 11¹ × 83¹
LCM(16416,16434) = 14987808