What is the Least Common Multiple of 16176 and 16182?

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 16176 and 16182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16176 and 16182, than apply into the LCM equation.

GCF(16176,16182) = 6
LCM(16176,16182) = ( 16176 × 16182) / 6
LCM(16176,16182) = 261760032 / 6
LCM(16176,16182) = 43626672

Least Common Multiple (LCM) of 16176 and 16182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16176 and 16182. First we will calculate the prime factors of 16176 and 16182.

Prime Factorization of 16176

Prime Factorization of 16182

Now multiplying the highest exponent prime factors to calculate the LCM of 16176 and 16182.

LCM(16176,16182) = 2⁴ × 3² × 337¹ × 29¹ × 31¹
LCM(16176,16182) = 43626672