What is the Least Common Multiple of 2675 and 2682?

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 2675 and 2682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2675 and 2682, than apply into the LCM equation.

GCF(2675,2682) = 1
LCM(2675,2682) = ( 2675 × 2682) / 1
LCM(2675,2682) = 7174350 / 1
LCM(2675,2682) = 7174350

Least Common Multiple (LCM) of 2675 and 2682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2675 and 2682. First we will calculate the prime factors of 2675 and 2682.

Prime Factorization of 2675

Prime Factorization of 2682

Now multiplying the highest exponent prime factors to calculate the LCM of 2675 and 2682.

LCM(2675,2682) = 5² × 107¹ × 2¹ × 3² × 149¹
LCM(2675,2682) = 7174350