Least Common Multiple of 2643 and 2650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2643 and 2650 the smallest integer that is 7003950 that is divisible by both numbers.

Least Common Multiple (LCM) of 2643 and 2650 is 7003950.

LCM(2643,2650) = 7003950

LCM of 2643 and 2650

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2643 and 2650

LCM of 2643 and 2650 is 7003950

Least common multiple can be found by multiplying the highest exponent prime factors of 2643 and 2650. First we will calculate the prime factors of 2643 and 2650.

Prime Factorization of 2643


3 2643
881 881
1

Prime factors of 2643 are 3,881. Prime factorization of 2643 in exponential form is:

2643 = 31×8811

Prime Factorization of 2650


2 2650
5 1325
5 265
53 53
1

Prime factors of 2650 are 2, 5,53. Prime factorization of 2650 in exponential form is:

2650 = 21×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2643 and 2650.

LCM(2643,2650) = 21×31×52×531×8811
LCM(2643,2650) = 7003950

Factors of 2643

List of positive integer factors of 2643 that divides 2643 without a remainder.

1, 3, 881, 2643

Factors of 2650

List of positive integer factors of 2650 that divides 2650 without a remainder.

1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650

Least Common Multiple of 2643 and 2650 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 2650, than apply into the LCM equation.

GCF(2643,2650) = 1
LCM(2643,2650) = ( 2643 × 2650) / 1
LCM(2643,2650) = 7003950 / 1
LCM(2643,2650) = 7003950

Properties of LCM 2643 and 2650

(i) The LCM of 2650 and 2643 is associative

LCM of 2643 and 2650 = LCM of 2650 and 2643

Related Least Common Multiples of 2643

Related Least Common Multiples of 2650

Frequently Asked Questions on LCM of 2643 and 2650

1. What is the LCM of 2643 and 2650?

Answer: LCM of 2643 and 2650 is 7003950.

2. What are the Factors of 2643?

Answer: Factors of 2643 are 1, 3, 881, 2643. There are 4 integers that are factors of 2643. The greatest factor of 2643 is 2643.

3. What are the Factors of 2650?

Answer: Factors of 2650 are 1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650. There are 12 integers that are factors of 2650. The greatest factor of 2650 is 2650.

4. How to Find the LCM of 2643 and 2650?

Answer:

Least Common Multiple of 2643 and 2650 = 7003950

Step 1: Find the prime factorization of 2643

2643 = 3 x 881

Step 2: Find the prime factorization of 2650

2650 = 2 x 5 x 5 x 53

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 7003950 = 2 x 3 x 5 x 5 x 53 x 881

Step 4: Therefore, the least common multiple of 2643 and 2650 is 7003950.