What is the Least Common Multiple of 16164 and 16176?

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 16164 and 16176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16164 and 16176, than apply into the LCM equation.

GCF(16164,16176) = 12
LCM(16164,16176) = ( 16164 × 16176) / 12
LCM(16164,16176) = 261468864 / 12
LCM(16164,16176) = 21789072

Least Common Multiple (LCM) of 16164 and 16176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16164 and 16176. First we will calculate the prime factors of 16164 and 16176.

Prime Factorization of 16164

Prime Factorization of 16176

Now multiplying the highest exponent prime factors to calculate the LCM of 16164 and 16176.

LCM(16164,16176) = 2⁴ × 3² × 449¹ × 337¹
LCM(16164,16176) = 21789072