Least Common Multiple of 2600 and 2604

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 2604 the smallest integer that is 1692600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2600 and 2604 is 1692600.

LCM(2600,2604) = 1692600

LCM of 2600 and 2604

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

LCM of:
and

Least Common Multiple of 2600 and 2604

LCM of 2600 and 2604 is 1692600

Least common multiple can be found by multiplying the highest exponent prime factors of 2600 and 2604. First we will calculate the prime factors of 2600 and 2604.

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 2604


2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 2604 are 2, 3, 7,31. Prime factorization of 2604 in exponential form is:

2604 = 22×31×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2600 and 2604.

LCM(2600,2604) = 23×31×52×71×131×311
LCM(2600,2604) = 1692600

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 2604

List of positive integer factors of 2604 that divides 2604 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604

Least Common Multiple of 2600 and 2604 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 2604, than apply into the LCM equation.

GCF(2600,2604) = 4
LCM(2600,2604) = ( 2600 × 2604) / 4
LCM(2600,2604) = 6770400 / 4
LCM(2600,2604) = 1692600

Properties of LCM 2600 and 2604

(i) The LCM of 2604 and 2600 is associative

LCM of 2600 and 2604 = LCM of 2604 and 2600

Related Least Common Multiples of 2600

Related Least Common Multiples of 2604

Frequently Asked Questions on LCM of 2600 and 2604

1. What is the LCM of 2600 and 2604?

Answer: LCM of 2600 and 2604 is 1692600.

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 2604?

Answer: Factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604. There are 24 integers that are factors of 2604. The greatest factor of 2604 is 2604.

4. How to Find the LCM of 2600 and 2604?

Answer:

Least Common Multiple of 2600 and 2604 = 1692600

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 2604

2604 = 2 x 2 x 3 x 7 x 31

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

LCM = 1692600 = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 2600 and 2604 is 1692600.