Least Common Multiple of 2678 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 2678 and 2682 the smallest integer that is 3591198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2678 and 2682 is 3591198.

LCM(2678,2682) = 3591198

LCM of 2678 and 2682

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

LCM of:
and

Least Common Multiple of 2678 and 2682

LCM of 2678 and 2682 is 3591198

Least common multiple can be found by multiplying the highest exponent prime factors of 2678 and 2682. First we will calculate the prime factors of 2678 and 2682.

Prime Factorization of 2678


2 2678
13 1339
103 103
1

Prime factors of 2678 are 2, 13,103. Prime factorization of 2678 in exponential form is:

2678 = 21×131×1031

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 2678 and 2682.

LCM(2678,2682) = 21×32×131×1031×1491
LCM(2678,2682) = 3591198

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1, 2, 13, 26, 103, 206, 1339, 2678

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 2678 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 2678 and 2682, than apply into the LCM equation.

GCF(2678,2682) = 2
LCM(2678,2682) = ( 2678 × 2682) / 2
LCM(2678,2682) = 7182396 / 2
LCM(2678,2682) = 3591198

Properties of LCM 2678 and 2682

(i) The LCM of 2682 and 2678 is associative

LCM of 2678 and 2682 = LCM of 2682 and 2678

Related Least Common Multiples of 2678

Related Least Common Multiples of 2682

Frequently Asked Questions on LCM of 2678 and 2682

1. What is the LCM of 2678 and 2682?

Answer: LCM of 2678 and 2682 is 3591198.

2. What are the Factors of 2678?

Answer: Factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678. There are 8 integers that are factors of 2678. The greatest factor of 2678 is 2678.

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 2678 and 2682?

Answer:

Least Common Multiple of 2678 and 2682 = 3591198

Step 1: Find the prime factorization of 2678

2678 = 2 x 13 x 103

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 = 3591198 = 2 x 3 x 3 x 13 x 103 x 149

Step 4: Therefore, the least common multiple of 2678 and 2682 is 3591198.