Least Common Multiple of 2690 and 2696

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 2696 the smallest integer that is 3626120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2690 and 2696 is 3626120.

LCM(2690,2696) = 3626120

LCM of 2690 and 2696

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

LCM of:
and

Least Common Multiple of 2690 and 2696

LCM of 2690 and 2696 is 3626120

Least common multiple can be found by multiplying the highest exponent prime factors of 2690 and 2696. First we will calculate the prime factors of 2690 and 2696.

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 2696


2 2696
2 1348
2 674
337 337
1

Prime factors of 2696 are 2,337. Prime factorization of 2696 in exponential form is:

2696 = 23×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 2690 and 2696.

LCM(2690,2696) = 23×51×2691×3371
LCM(2690,2696) = 3626120

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 2696

List of positive integer factors of 2696 that divides 2696 without a remainder.

1, 2, 4, 8, 337, 674, 1348, 2696

Least Common Multiple of 2690 and 2696 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 2696, than apply into the LCM equation.

GCF(2690,2696) = 2
LCM(2690,2696) = ( 2690 × 2696) / 2
LCM(2690,2696) = 7252240 / 2
LCM(2690,2696) = 3626120

Properties of LCM 2690 and 2696

(i) The LCM of 2696 and 2690 is associative

LCM of 2690 and 2696 = LCM of 2696 and 2690

Related Least Common Multiples of 2690

Related Least Common Multiples of 2696

Frequently Asked Questions on LCM of 2690 and 2696

1. What is the LCM of 2690 and 2696?

Answer: LCM of 2690 and 2696 is 3626120.

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 2696?

Answer: Factors of 2696 are 1, 2, 4, 8, 337, 674, 1348, 2696. There are 8 integers that are factors of 2696. The greatest factor of 2696 is 2696.

4. How to Find the LCM of 2690 and 2696?

Answer:

Least Common Multiple of 2690 and 2696 = 3626120

Step 1: Find the prime factorization of 2690

2690 = 2 x 5 x 269

Step 2: Find the prime factorization of 2696

2696 = 2 x 2 x 2 x 337

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

LCM = 3626120 = 2 x 2 x 2 x 5 x 269 x 337

Step 4: Therefore, the least common multiple of 2690 and 2696 is 3626120.