Least Common Multiple of 2690 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 2690 and 2691 the smallest integer that is 7238790 that is divisible by both numbers.

Least Common Multiple (LCM) of 2690 and 2691 is 7238790.

LCM(2690,2691) = 7238790

LCM of 2690 and 2691

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

LCM of:
and

Least Common Multiple of 2690 and 2691

LCM of 2690 and 2691 is 7238790

Least common multiple can be found by multiplying the highest exponent prime factors of 2690 and 2691. First we will calculate the prime factors of 2690 and 2691.

Prime Factorization of 2690


2 2690
5 1345
269 269
1

Prime factors of 2690 are 2, 5,269. Prime factorization of 2690 in exponential form is:

2690 = 21×51×2691

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 2690 and 2691.

LCM(2690,2691) = 21×32×51×131×231×2691
LCM(2690,2691) = 7238790

Factors of 2690

List of positive integer factors of 2690 that divides 2690 without a remainder.

1, 2, 5, 10, 269, 538, 1345, 2690

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 2690 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 2690 and 2691, than apply into the LCM equation.

GCF(2690,2691) = 1
LCM(2690,2691) = ( 2690 × 2691) / 1
LCM(2690,2691) = 7238790 / 1
LCM(2690,2691) = 7238790

Properties of LCM 2690 and 2691

(i) The LCM of 2691 and 2690 is associative

LCM of 2690 and 2691 = LCM of 2691 and 2690

Related Least Common Multiples of 2690

Related Least Common Multiples of 2691

Frequently Asked Questions on LCM of 2690 and 2691

1. What is the LCM of 2690 and 2691?

Answer: LCM of 2690 and 2691 is 7238790.

2. What are the Factors of 2690?

Answer: Factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690. There are 8 integers that are factors of 2690. The greatest factor of 2690 is 2690.

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 2690 and 2691?

Answer:

Least Common Multiple of 2690 and 2691 = 7238790

Step 1: Find the prime factorization of 2690

2690 = 2 x 5 x 269

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 = 7238790 = 2 x 3 x 3 x 5 x 13 x 23 x 269

Step 4: Therefore, the least common multiple of 2690 and 2691 is 7238790.