Least Common Multiple of 2600 and 2605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2600 and 2605 the smallest integer that is 1354600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2600 and 2605 is 1354600.

LCM(2600,2605) = 1354600

LCM of 2600 and 2605

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

LCM of:
and

Least Common Multiple of 2600 and 2605

LCM of 2600 and 2605 is 1354600

Least common multiple can be found by multiplying the highest exponent prime factors of 2600 and 2605. First we will calculate the prime factors of 2600 and 2605.

Prime Factorization of 2600


2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 2600 are 2, 5,13. Prime factorization of 2600 in exponential form is:

2600 = 23×52×131

Prime Factorization of 2605


5 2605
521 521
1

Prime factors of 2605 are 5,521. Prime factorization of 2605 in exponential form is:

2605 = 51×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 2600 and 2605.

LCM(2600,2605) = 23×52×131×5211
LCM(2600,2605) = 1354600

Factors of 2600

List of positive integer factors of 2600 that divides 2600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600

Factors of 2605

List of positive integer factors of 2605 that divides 2605 without a remainder.

1, 5, 521, 2605

Least Common Multiple of 2600 and 2605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2600 and 2605, than apply into the LCM equation.

GCF(2600,2605) = 5
LCM(2600,2605) = ( 2600 × 2605) / 5
LCM(2600,2605) = 6773000 / 5
LCM(2600,2605) = 1354600

Properties of LCM 2600 and 2605

(i) The LCM of 2605 and 2600 is associative

LCM of 2600 and 2605 = LCM of 2605 and 2600

Related Least Common Multiples of 2600

Related Least Common Multiples of 2605

Frequently Asked Questions on LCM of 2600 and 2605

1. What is the LCM of 2600 and 2605?

Answer: LCM of 2600 and 2605 is 1354600.

2. What are the Factors of 2600?

Answer: Factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600. There are 24 integers that are factors of 2600. The greatest factor of 2600 is 2600.

3. What are the Factors of 2605?

Answer: Factors of 2605 are 1, 5, 521, 2605. There are 4 integers that are factors of 2605. The greatest factor of 2605 is 2605.

4. How to Find the LCM of 2600 and 2605?

Answer:

Least Common Multiple of 2600 and 2605 = 1354600

Step 1: Find the prime factorization of 2600

2600 = 2 x 2 x 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 2605

2605 = 5 x 521

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

LCM = 1354600 = 2 x 2 x 2 x 5 x 5 x 13 x 521

Step 4: Therefore, the least common multiple of 2600 and 2605 is 1354600.