Least Common Multiple of 2600 and 2601

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 2601 the smallest integer that is 6762600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2600 and 2601 is 6762600.

LCM(2600,2601) = 6762600

LCM of 2600 and 2601

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

LCM of:
and

Least Common Multiple of 2600 and 2601

LCM of 2600 and 2601 is 6762600

Least common multiple can be found by multiplying the highest exponent prime factors of 2600 and 2601. First we will calculate the prime factors of 2600 and 2601.

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 2601


3 2601
3 867
17 289
17 17
1

Prime factors of 2601 are 3,17. Prime factorization of 2601 in exponential form is:

2601 = 32×172

Now multiplying the highest exponent prime factors to calculate the LCM of 2600 and 2601.

LCM(2600,2601) = 23×32×52×131×172
LCM(2600,2601) = 6762600

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 2601

List of positive integer factors of 2601 that divides 2601 without a remainder.

1, 3, 9, 17, 51, 153, 289, 867, 2601

Least Common Multiple of 2600 and 2601 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 2601, than apply into the LCM equation.

GCF(2600,2601) = 1
LCM(2600,2601) = ( 2600 × 2601) / 1
LCM(2600,2601) = 6762600 / 1
LCM(2600,2601) = 6762600

Properties of LCM 2600 and 2601

(i) The LCM of 2601 and 2600 is associative

LCM of 2600 and 2601 = LCM of 2601 and 2600

Related Least Common Multiples of 2600

Related Least Common Multiples of 2601

Frequently Asked Questions on LCM of 2600 and 2601

1. What is the LCM of 2600 and 2601?

Answer: LCM of 2600 and 2601 is 6762600.

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 2601?

Answer: Factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601. There are 9 integers that are factors of 2601. The greatest factor of 2601 is 2601.

4. How to Find the LCM of 2600 and 2601?

Answer:

Least Common Multiple of 2600 and 2601 = 6762600

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 2601

2601 = 3 x 3 x 17 x 17

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

LCM = 6762600 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 17 x 17

Step 4: Therefore, the least common multiple of 2600 and 2601 is 6762600.