Least Common Multiple of 2674 and 2682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2674 and 2682 the smallest integer that is 3585834 that is divisible by both numbers.

Least Common Multiple (LCM) of 2674 and 2682 is 3585834.

LCM(2674,2682) = 3585834

LCM of 2674 and 2682

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

LCM of:
and

Least Common Multiple of 2674 and 2682

LCM of 2674 and 2682 is 3585834

Least common multiple can be found by multiplying the highest exponent prime factors of 2674 and 2682. First we will calculate the prime factors of 2674 and 2682.

Prime Factorization of 2674


2 2674
7 1337
191 191
1

Prime factors of 2674 are 2, 7,191. Prime factorization of 2674 in exponential form is:

2674 = 21×71×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2674 and 2682.

LCM(2674,2682) = 21×32×71×1491×1911
LCM(2674,2682) = 3585834

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1, 2, 7, 14, 191, 382, 1337, 2674

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

Least Common Multiple of 2674 and 2682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2674 and 2682, than apply into the LCM equation.

GCF(2674,2682) = 2
LCM(2674,2682) = ( 2674 × 2682) / 2
LCM(2674,2682) = 7171668 / 2
LCM(2674,2682) = 3585834

Properties of LCM 2674 and 2682

(i) The LCM of 2682 and 2674 is associative

LCM of 2674 and 2682 = LCM of 2682 and 2674

Related Least Common Multiples of 2674

Related Least Common Multiples of 2682

Frequently Asked Questions on LCM of 2674 and 2682

1. What is the LCM of 2674 and 2682?

Answer: LCM of 2674 and 2682 is 3585834.

2. What are the Factors of 2674?

Answer: Factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674. There are 8 integers that are factors of 2674. The greatest factor of 2674 is 2674.

3. 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.

4. How to Find the LCM of 2674 and 2682?

Answer:

Least Common Multiple of 2674 and 2682 = 3585834

Step 1: Find the prime factorization of 2674

2674 = 2 x 7 x 191

Step 2: Find the prime factorization of 2682

2682 = 2 x 3 x 3 x 149

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

LCM = 3585834 = 2 x 3 x 3 x 7 x 149 x 191

Step 4: Therefore, the least common multiple of 2674 and 2682 is 3585834.