What is the Least Common Multiple of 2613 and 2633?

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 2613 and 2633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2613 and 2633, than apply into the LCM equation.

GCF(2613,2633) = 1
LCM(2613,2633) = ( 2613 × 2633) / 1
LCM(2613,2633) = 6880029 / 1
LCM(2613,2633) = 6880029

Least Common Multiple (LCM) of 2613 and 2633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2613 and 2633. First we will calculate the prime factors of 2613 and 2633.

Prime Factorization of 2613

Prime Factorization of 2633

Now multiplying the highest exponent prime factors to calculate the LCM of 2613 and 2633.

LCM(2613,2633) = 3¹ × 13¹ × 67¹ × 2633¹
LCM(2613,2633) = 6880029