What is the Least Common Multiple of 16944 and 16950?

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 16944 and 16950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16944 and 16950, than apply into the LCM equation.

GCF(16944,16950) = 6
LCM(16944,16950) = ( 16944 × 16950) / 6
LCM(16944,16950) = 287200800 / 6
LCM(16944,16950) = 47866800

Least Common Multiple (LCM) of 16944 and 16950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16944 and 16950. First we will calculate the prime factors of 16944 and 16950.

Prime Factorization of 16944

Prime Factorization of 16950

Now multiplying the highest exponent prime factors to calculate the LCM of 16944 and 16950.

LCM(16944,16950) = 2⁴ × 3¹ × 353¹ × 5² × 113¹
LCM(16944,16950) = 47866800