Least Common Multiple of 2685 and 2691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2685 and 2691 the smallest integer that is 2408445 that is divisible by both numbers.

Least Common Multiple (LCM) of 2685 and 2691 is 2408445.

LCM(2685,2691) = 2408445

LCM of 2685 and 2691

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

LCM of:
and

Least Common Multiple of 2685 and 2691

LCM of 2685 and 2691 is 2408445

Least common multiple can be found by multiplying the highest exponent prime factors of 2685 and 2691. First we will calculate the prime factors of 2685 and 2691.

Prime Factorization of 2685


3 2685
5 895
179 179
1

Prime factors of 2685 are 3, 5,179. Prime factorization of 2685 in exponential form is:

2685 = 31×51×1791

Prime Factorization of 2691


3 2691
3 897
13 299
23 23
1

Prime factors of 2691 are 3, 13,23. Prime factorization of 2691 in exponential form is:

2691 = 32×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2685 and 2691.

LCM(2685,2691) = 32×51×131×231×1791
LCM(2685,2691) = 2408445

Factors of 2685

List of positive integer factors of 2685 that divides 2685 without a remainder.

1, 3, 5, 15, 179, 537, 895, 2685

Factors of 2691

List of positive integer factors of 2691 that divides 2691 without a remainder.

1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691

Least Common Multiple of 2685 and 2691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2685 and 2691, than apply into the LCM equation.

GCF(2685,2691) = 3
LCM(2685,2691) = ( 2685 × 2691) / 3
LCM(2685,2691) = 7225335 / 3
LCM(2685,2691) = 2408445

Properties of LCM 2685 and 2691

(i) The LCM of 2691 and 2685 is associative

LCM of 2685 and 2691 = LCM of 2691 and 2685

Related Least Common Multiples of 2685

Related Least Common Multiples of 2691

Frequently Asked Questions on LCM of 2685 and 2691

1. What is the LCM of 2685 and 2691?

Answer: LCM of 2685 and 2691 is 2408445.

2. What are the Factors of 2685?

Answer: Factors of 2685 are 1, 3, 5, 15, 179, 537, 895, 2685. There are 8 integers that are factors of 2685. The greatest factor of 2685 is 2685.

3. What are the Factors of 2691?

Answer: Factors of 2691 are 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691. There are 12 integers that are factors of 2691. The greatest factor of 2691 is 2691.

4. How to Find the LCM of 2685 and 2691?

Answer:

Least Common Multiple of 2685 and 2691 = 2408445

Step 1: Find the prime factorization of 2685

2685 = 3 x 5 x 179

Step 2: Find the prime factorization of 2691

2691 = 3 x 3 x 13 x 23

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

LCM = 2408445 = 3 x 3 x 5 x 13 x 23 x 179

Step 4: Therefore, the least common multiple of 2685 and 2691 is 2408445.