Least Common Multiple of 2674 and 2681

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 2681 the smallest integer that is 1024142 that is divisible by both numbers.

Least Common Multiple (LCM) of 2674 and 2681 is 1024142.

LCM(2674,2681) = 1024142

LCM of 2674 and 2681

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

LCM of:
and

Least Common Multiple of 2674 and 2681

LCM of 2674 and 2681 is 1024142

Least common multiple can be found by multiplying the highest exponent prime factors of 2674 and 2681. First we will calculate the prime factors of 2674 and 2681.

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 2681


7 2681
383 383
1

Prime factors of 2681 are 7,383. Prime factorization of 2681 in exponential form is:

2681 = 71×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 2674 and 2681.

LCM(2674,2681) = 21×71×1911×3831
LCM(2674,2681) = 1024142

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 2681

List of positive integer factors of 2681 that divides 2681 without a remainder.

1, 7, 383, 2681

Least Common Multiple of 2674 and 2681 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 2681, than apply into the LCM equation.

GCF(2674,2681) = 7
LCM(2674,2681) = ( 2674 × 2681) / 7
LCM(2674,2681) = 7168994 / 7
LCM(2674,2681) = 1024142

Properties of LCM 2674 and 2681

(i) The LCM of 2681 and 2674 is associative

LCM of 2674 and 2681 = LCM of 2681 and 2674

Related Least Common Multiples of 2674

Related Least Common Multiples of 2681

Frequently Asked Questions on LCM of 2674 and 2681

1. What is the LCM of 2674 and 2681?

Answer: LCM of 2674 and 2681 is 1024142.

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 2681?

Answer: Factors of 2681 are 1, 7, 383, 2681. There are 4 integers that are factors of 2681. The greatest factor of 2681 is 2681.

4. How to Find the LCM of 2674 and 2681?

Answer:

Least Common Multiple of 2674 and 2681 = 1024142

Step 1: Find the prime factorization of 2674

2674 = 2 x 7 x 191

Step 2: Find the prime factorization of 2681

2681 = 7 x 383

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

LCM = 1024142 = 2 x 7 x 191 x 383

Step 4: Therefore, the least common multiple of 2674 and 2681 is 1024142.