Least Common Multiple of 2600 and 2606

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 2606 the smallest integer that is 3387800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2600 and 2606 is 3387800.

LCM(2600,2606) = 3387800

LCM of 2600 and 2606

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

LCM of:
and

Least Common Multiple of 2600 and 2606

LCM of 2600 and 2606 is 3387800

Least common multiple can be found by multiplying the highest exponent prime factors of 2600 and 2606. First we will calculate the prime factors of 2600 and 2606.

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 2606


2 2606
1303 1303
1

Prime factors of 2606 are 2,1303. Prime factorization of 2606 in exponential form is:

2606 = 21×13031

Now multiplying the highest exponent prime factors to calculate the LCM of 2600 and 2606.

LCM(2600,2606) = 23×52×131×13031
LCM(2600,2606) = 3387800

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 2606

List of positive integer factors of 2606 that divides 2606 without a remainder.

1, 2, 1303, 2606

Least Common Multiple of 2600 and 2606 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 2606, than apply into the LCM equation.

GCF(2600,2606) = 2
LCM(2600,2606) = ( 2600 × 2606) / 2
LCM(2600,2606) = 6775600 / 2
LCM(2600,2606) = 3387800

Properties of LCM 2600 and 2606

(i) The LCM of 2606 and 2600 is associative

LCM of 2600 and 2606 = LCM of 2606 and 2600

Related Least Common Multiples of 2600

Related Least Common Multiples of 2606

Frequently Asked Questions on LCM of 2600 and 2606

1. What is the LCM of 2600 and 2606?

Answer: LCM of 2600 and 2606 is 3387800.

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 2606?

Answer: Factors of 2606 are 1, 2, 1303, 2606. There are 4 integers that are factors of 2606. The greatest factor of 2606 is 2606.

4. How to Find the LCM of 2600 and 2606?

Answer:

Least Common Multiple of 2600 and 2606 = 3387800

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 2606

2606 = 2 x 1303

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

LCM = 3387800 = 2 x 2 x 2 x 5 x 5 x 13 x 1303

Step 4: Therefore, the least common multiple of 2600 and 2606 is 3387800.