Least Common Multiple of 2609 and 2615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2609 and 2615 the smallest integer that is 6822535 that is divisible by both numbers.

Least Common Multiple (LCM) of 2609 and 2615 is 6822535.

LCM(2609,2615) = 6822535

LCM of 2609 and 2615

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

LCM of:
and

Least Common Multiple of 2609 and 2615

LCM of 2609 and 2615 is 6822535

Least common multiple can be found by multiplying the highest exponent prime factors of 2609 and 2615. First we will calculate the prime factors of 2609 and 2615.

Prime Factorization of 2609


2609 2609
1

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

2609 = 26091

Prime Factorization of 2615


5 2615
523 523
1

Prime factors of 2615 are 5,523. Prime factorization of 2615 in exponential form is:

2615 = 51×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 2609 and 2615.

LCM(2609,2615) = 51×5231×26091
LCM(2609,2615) = 6822535

Factors of 2609

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

1, 2609

Factors of 2615

List of positive integer factors of 2615 that divides 2615 without a remainder.

1, 5, 523, 2615

Least Common Multiple of 2609 and 2615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2609 and 2615, than apply into the LCM equation.

GCF(2609,2615) = 1
LCM(2609,2615) = ( 2609 × 2615) / 1
LCM(2609,2615) = 6822535 / 1
LCM(2609,2615) = 6822535

Properties of LCM 2609 and 2615

(i) The LCM of 2615 and 2609 is associative

LCM of 2609 and 2615 = LCM of 2615 and 2609

Related Least Common Multiples of 2609

Related Least Common Multiples of 2615

Frequently Asked Questions on LCM of 2609 and 2615

1. What is the LCM of 2609 and 2615?

Answer: LCM of 2609 and 2615 is 6822535.

2. 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.

3. What are the Factors of 2615?

Answer: Factors of 2615 are 1, 5, 523, 2615. There are 4 integers that are factors of 2615. The greatest factor of 2615 is 2615.

4. How to Find the LCM of 2609 and 2615?

Answer:

Least Common Multiple of 2609 and 2615 = 6822535

Step 1: Find the prime factorization of 2609

2609 = 2609

Step 2: Find the prime factorization of 2615

2615 = 5 x 523

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

LCM = 6822535 = 5 x 523 x 2609

Step 4: Therefore, the least common multiple of 2609 and 2615 is 6822535.