What is the Least Common Multiple of 2769 and 2784?

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 2769 and 2784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2769 and 2784, than apply into the LCM equation.

GCF(2769,2784) = 3
LCM(2769,2784) = ( 2769 × 2784) / 3
LCM(2769,2784) = 7708896 / 3
LCM(2769,2784) = 2569632

Least Common Multiple (LCM) of 2769 and 2784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2769 and 2784. First we will calculate the prime factors of 2769 and 2784.

Prime Factorization of 2769

Prime Factorization of 2784

Now multiplying the highest exponent prime factors to calculate the LCM of 2769 and 2784.

LCM(2769,2784) = 3¹ × 13¹ × 71¹ × 2⁵ × 29¹
LCM(2769,2784) = 2569632