What is the Least Common Multiple of 2643 and 2663?

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 2643 and 2663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2643 and 2663, than apply into the LCM equation.

GCF(2643,2663) = 1
LCM(2643,2663) = ( 2643 × 2663) / 1
LCM(2643,2663) = 7038309 / 1
LCM(2643,2663) = 7038309

Least Common Multiple (LCM) of 2643 and 2663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2643 and 2663. First we will calculate the prime factors of 2643 and 2663.

Prime Factorization of 2643

Prime Factorization of 2663

Now multiplying the highest exponent prime factors to calculate the LCM of 2643 and 2663.

LCM(2643,2663) = 3¹ × 881¹ × 2663¹
LCM(2643,2663) = 7038309