What is the Least Common Multiple of 16944 and 16960?

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 16960 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 16960, than apply into the LCM equation.

GCF(16944,16960) = 16
LCM(16944,16960) = ( 16944 × 16960) / 16
LCM(16944,16960) = 287370240 / 16
LCM(16944,16960) = 17960640

Least Common Multiple (LCM) of 16944 and 16960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16944 and 16960. First we will calculate the prime factors of 16944 and 16960.

Prime Factorization of 16944

Prime Factorization of 16960

Now multiplying the highest exponent prime factors to calculate the LCM of 16944 and 16960.

LCM(16944,16960) = 2⁶ × 3¹ × 353¹ × 5¹ × 53¹
LCM(16944,16960) = 17960640