Least Common Multiple of 2682 and 2690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2682 and 2690 the smallest integer that is 3607290 that is divisible by both numbers.

Least Common Multiple (LCM) of 2682 and 2690 is 3607290.

LCM(2682,2690) = 3607290

LCM of 2682 and 2690

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

LCM of:
and

Least Common Multiple of 2682 and 2690

LCM of 2682 and 2690 is 3607290

Least common multiple can be found by multiplying the highest exponent prime factors of 2682 and 2690. First we will calculate the prime factors of 2682 and 2690.

Prime Factorization of 2682


2 2682
3 1341
3 447
149 149
1

Prime factors of 2682 are 2, 3,149. Prime factorization of 2682 in exponential form is:

2682 = 21×32×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2682 and 2690.

LCM(2682,2690) = 21×32×51×1491×2691
LCM(2682,2690) = 3607290

Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682

Factors of 2690

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

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

Least Common Multiple of 2682 and 2690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2682 and 2690, than apply into the LCM equation.

GCF(2682,2690) = 2
LCM(2682,2690) = ( 2682 × 2690) / 2
LCM(2682,2690) = 7214580 / 2
LCM(2682,2690) = 3607290

Properties of LCM 2682 and 2690

(i) The LCM of 2690 and 2682 is associative

LCM of 2682 and 2690 = LCM of 2690 and 2682

Related Least Common Multiples of 2682

Related Least Common Multiples of 2690

Frequently Asked Questions on LCM of 2682 and 2690

1. What is the LCM of 2682 and 2690?

Answer: LCM of 2682 and 2690 is 3607290.

2. What are the Factors of 2682?

Answer: Factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682. There are 12 integers that are factors of 2682. The greatest factor of 2682 is 2682.

3. 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.

4. How to Find the LCM of 2682 and 2690?

Answer:

Least Common Multiple of 2682 and 2690 = 3607290

Step 1: Find the prime factorization of 2682

2682 = 2 x 3 x 3 x 149

Step 2: Find the prime factorization of 2690

2690 = 2 x 5 x 269

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

LCM = 3607290 = 2 x 3 x 3 x 5 x 149 x 269

Step 4: Therefore, the least common multiple of 2682 and 2690 is 3607290.