What is the Least Common Multiple of 16764 and 16784?

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 16764 and 16784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16764 and 16784, than apply into the LCM equation.

GCF(16764,16784) = 4
LCM(16764,16784) = ( 16764 × 16784) / 4
LCM(16764,16784) = 281366976 / 4
LCM(16764,16784) = 70341744

Least Common Multiple (LCM) of 16764 and 16784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16764 and 16784. First we will calculate the prime factors of 16764 and 16784.

Prime Factorization of 16764

Prime Factorization of 16784

Now multiplying the highest exponent prime factors to calculate the LCM of 16764 and 16784.

LCM(16764,16784) = 2⁴ × 3¹ × 11¹ × 127¹ × 1049¹
LCM(16764,16784) = 70341744