What is the Least Common Multiple of 16211 and 16224?

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 16211 and 16224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16211 and 16224, than apply into the LCM equation.

GCF(16211,16224) = 13
LCM(16211,16224) = ( 16211 × 16224) / 13
LCM(16211,16224) = 263007264 / 13
LCM(16211,16224) = 20231328

Least Common Multiple (LCM) of 16211 and 16224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16211 and 16224. First we will calculate the prime factors of 16211 and 16224.

Prime Factorization of 16211

Prime Factorization of 16224

Now multiplying the highest exponent prime factors to calculate the LCM of 16211 and 16224.

LCM(16211,16224) = 13² × 29¹ × 43¹ × 2⁵ × 3¹
LCM(16211,16224) = 20231328