What is the Least Common Multiple of 16149 and 16164?

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 16149 and 16164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16149 and 16164, than apply into the LCM equation.

GCF(16149,16164) = 3
LCM(16149,16164) = ( 16149 × 16164) / 3
LCM(16149,16164) = 261032436 / 3
LCM(16149,16164) = 87010812

Least Common Multiple (LCM) of 16149 and 16164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16149 and 16164. First we will calculate the prime factors of 16149 and 16164.

Prime Factorization of 16149

Prime Factorization of 16164

Now multiplying the highest exponent prime factors to calculate the LCM of 16149 and 16164.

LCM(16149,16164) = 3² × 7¹ × 769¹ × 2² × 449¹
LCM(16149,16164) = 87010812