What is the Least Common Multiple of 2625 and 2643?

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 2625 and 2643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2625 and 2643, than apply into the LCM equation.

GCF(2625,2643) = 3
LCM(2625,2643) = ( 2625 × 2643) / 3
LCM(2625,2643) = 6937875 / 3
LCM(2625,2643) = 2312625

Least Common Multiple (LCM) of 2625 and 2643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2625 and 2643. First we will calculate the prime factors of 2625 and 2643.

Prime Factorization of 2625

Prime Factorization of 2643

Now multiplying the highest exponent prime factors to calculate the LCM of 2625 and 2643.

LCM(2625,2643) = 3¹ × 5³ × 7¹ × 881¹
LCM(2625,2643) = 2312625