What is the Least Common Multiple of 2682 and 2700?

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 2682 and 2700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2682 and 2700, than apply into the LCM equation.

GCF(2682,2700) = 18
LCM(2682,2700) = ( 2682 × 2700) / 18
LCM(2682,2700) = 7241400 / 18
LCM(2682,2700) = 402300

Least Common Multiple (LCM) of 2682 and 2700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2682 and 2700. First we will calculate the prime factors of 2682 and 2700.

Prime Factorization of 2682

Prime Factorization of 2700

Now multiplying the highest exponent prime factors to calculate the LCM of 2682 and 2700.

LCM(2682,2700) = 2² × 3³ × 149¹ × 5²
LCM(2682,2700) = 402300