What is the Least Common Multiple of 2769 and 2781?

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 2781 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 2781, than apply into the LCM equation.

GCF(2769,2781) = 3
LCM(2769,2781) = ( 2769 × 2781) / 3
LCM(2769,2781) = 7700589 / 3
LCM(2769,2781) = 2566863

Least Common Multiple (LCM) of 2769 and 2781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2769 and 2781. First we will calculate the prime factors of 2769 and 2781.

Prime Factorization of 2769

Prime Factorization of 2781

Now multiplying the highest exponent prime factors to calculate the LCM of 2769 and 2781.

LCM(2769,2781) = 3³ × 13¹ × 71¹ × 103¹
LCM(2769,2781) = 2566863