Least Common Multiple of 2674 and 2678

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 2678 the smallest integer that is 3580486 that is divisible by both numbers.

Least Common Multiple (LCM) of 2674 and 2678 is 3580486.

LCM(2674,2678) = 3580486

LCM of 2674 and 2678

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

LCM of:
and

Least Common Multiple of 2674 and 2678

LCM of 2674 and 2678 is 3580486

Least common multiple can be found by multiplying the highest exponent prime factors of 2674 and 2678. First we will calculate the prime factors of 2674 and 2678.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2674 and 2678.

LCM(2674,2678) = 21×71×131×1031×1911
LCM(2674,2678) = 3580486

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 2678

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

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

Least Common Multiple of 2674 and 2678 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 2678, than apply into the LCM equation.

GCF(2674,2678) = 2
LCM(2674,2678) = ( 2674 × 2678) / 2
LCM(2674,2678) = 7160972 / 2
LCM(2674,2678) = 3580486

Properties of LCM 2674 and 2678

(i) The LCM of 2678 and 2674 is associative

LCM of 2674 and 2678 = LCM of 2678 and 2674

Related Least Common Multiples of 2674

Related Least Common Multiples of 2678

Frequently Asked Questions on LCM of 2674 and 2678

1. What is the LCM of 2674 and 2678?

Answer: LCM of 2674 and 2678 is 3580486.

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 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.

4. How to Find the LCM of 2674 and 2678?

Answer:

Least Common Multiple of 2674 and 2678 = 3580486

Step 1: Find the prime factorization of 2674

2674 = 2 x 7 x 191

Step 2: Find the prime factorization of 2678

2678 = 2 x 13 x 103

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

LCM = 3580486 = 2 x 7 x 13 x 103 x 191

Step 4: Therefore, the least common multiple of 2674 and 2678 is 3580486.