What is the Least Common Multiple of 16204 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 16204 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 16204 and 16224, than apply into the LCM equation.

GCF(16204,16224) = 4
LCM(16204,16224) = ( 16204 × 16224) / 4
LCM(16204,16224) = 262893696 / 4
LCM(16204,16224) = 65723424

Least Common Multiple (LCM) of 16204 and 16224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16204 and 16224. First we will calculate the prime factors of 16204 and 16224.

Prime Factorization of 16204

Prime Factorization of 16224

Now multiplying the highest exponent prime factors to calculate the LCM of 16204 and 16224.

LCM(16204,16224) = 2⁵ × 4051¹ × 3¹ × 13²
LCM(16204,16224) = 65723424