What is the Least Common Multiple of 2689 and 2708?

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 2689 and 2708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2689 and 2708, than apply into the LCM equation.

GCF(2689,2708) = 1
LCM(2689,2708) = ( 2689 × 2708) / 1
LCM(2689,2708) = 7281812 / 1
LCM(2689,2708) = 7281812

Least Common Multiple (LCM) of 2689 and 2708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2689 and 2708. First we will calculate the prime factors of 2689 and 2708.

Prime Factorization of 2689

Prime Factorization of 2708

Now multiplying the highest exponent prime factors to calculate the LCM of 2689 and 2708.

LCM(2689,2708) = 2689¹ × 2² × 677¹
LCM(2689,2708) = 7281812