What is the Least Common Multiple of 16448 and 16468?

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 16448 and 16468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16448 and 16468, than apply into the LCM equation.

GCF(16448,16468) = 4
LCM(16448,16468) = ( 16448 × 16468) / 4
LCM(16448,16468) = 270865664 / 4
LCM(16448,16468) = 67716416

Least Common Multiple (LCM) of 16448 and 16468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16448 and 16468. First we will calculate the prime factors of 16448 and 16468.

Prime Factorization of 16448

Prime Factorization of 16468

Now multiplying the highest exponent prime factors to calculate the LCM of 16448 and 16468.

LCM(16448,16468) = 2⁶ × 257¹ × 23¹ × 179¹
LCM(16448,16468) = 67716416