Least Common Multiple of 2604 and 2609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2604 and 2609 the smallest integer that is 6793836 that is divisible by both numbers.

Least Common Multiple (LCM) of 2604 and 2609 is 6793836.

LCM(2604,2609) = 6793836

LCM of 2604 and 2609

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

LCM of:
and

Least Common Multiple of 2604 and 2609

LCM of 2604 and 2609 is 6793836

Least common multiple can be found by multiplying the highest exponent prime factors of 2604 and 2609. First we will calculate the prime factors of 2604 and 2609.

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

Prime Factorization of 2609


2609 2609
1

Prime factors of 2609 are 2609. Prime factorization of 2609 in exponential form is:

2609 = 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 2604 and 2609.

LCM(2604,2609) = 22×31×71×311×26091
LCM(2604,2609) = 6793836

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

Factors of 2609

List of positive integer factors of 2609 that divides 2609 without a remainder.

1, 2609

Least Common Multiple of 2604 and 2609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2604 and 2609, than apply into the LCM equation.

GCF(2604,2609) = 1
LCM(2604,2609) = ( 2604 × 2609) / 1
LCM(2604,2609) = 6793836 / 1
LCM(2604,2609) = 6793836

Properties of LCM 2604 and 2609

(i) The LCM of 2609 and 2604 is associative

LCM of 2604 and 2609 = LCM of 2609 and 2604

Related Least Common Multiples of 2604

Related Least Common Multiples of 2609

Frequently Asked Questions on LCM of 2604 and 2609

1. What is the LCM of 2604 and 2609?

Answer: LCM of 2604 and 2609 is 6793836.

2. 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.

3. What are the Factors of 2609?

Answer: Factors of 2609 are 1, 2609. There are 2 integers that are factors of 2609. The greatest factor of 2609 is 2609.

4. How to Find the LCM of 2604 and 2609?

Answer:

Least Common Multiple of 2604 and 2609 = 6793836

Step 1: Find the prime factorization of 2604

2604 = 2 x 2 x 3 x 7 x 31

Step 2: Find the prime factorization of 2609

2609 = 2609

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

LCM = 6793836 = 2 x 2 x 3 x 7 x 31 x 2609

Step 4: Therefore, the least common multiple of 2604 and 2609 is 6793836.