Least Common Multiple of 2631 and 2638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2631 and 2638 the smallest integer that is 6940578 that is divisible by both numbers.

Least Common Multiple (LCM) of 2631 and 2638 is 6940578.

LCM(2631,2638) = 6940578

LCM of 2631 and 2638

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

LCM of:
and

Least Common Multiple of 2631 and 2638

LCM of 2631 and 2638 is 6940578

Least common multiple can be found by multiplying the highest exponent prime factors of 2631 and 2638. First we will calculate the prime factors of 2631 and 2638.

Prime Factorization of 2631


3 2631
877 877
1

Prime factors of 2631 are 3,877. Prime factorization of 2631 in exponential form is:

2631 = 31×8771

Prime Factorization of 2638


2 2638
1319 1319
1

Prime factors of 2638 are 2,1319. Prime factorization of 2638 in exponential form is:

2638 = 21×13191

Now multiplying the highest exponent prime factors to calculate the LCM of 2631 and 2638.

LCM(2631,2638) = 21×31×8771×13191
LCM(2631,2638) = 6940578

Factors of 2631

List of positive integer factors of 2631 that divides 2631 without a remainder.

1, 3, 877, 2631

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1, 2, 1319, 2638

Least Common Multiple of 2631 and 2638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2631 and 2638, than apply into the LCM equation.

GCF(2631,2638) = 1
LCM(2631,2638) = ( 2631 × 2638) / 1
LCM(2631,2638) = 6940578 / 1
LCM(2631,2638) = 6940578

Properties of LCM 2631 and 2638

(i) The LCM of 2638 and 2631 is associative

LCM of 2631 and 2638 = LCM of 2638 and 2631

Related Least Common Multiples of 2631

Related Least Common Multiples of 2638

Frequently Asked Questions on LCM of 2631 and 2638

1. What is the LCM of 2631 and 2638?

Answer: LCM of 2631 and 2638 is 6940578.

2. What are the Factors of 2631?

Answer: Factors of 2631 are 1, 3, 877, 2631. There are 4 integers that are factors of 2631. The greatest factor of 2631 is 2631.

3. What are the Factors of 2638?

Answer: Factors of 2638 are 1, 2, 1319, 2638. There are 4 integers that are factors of 2638. The greatest factor of 2638 is 2638.

4. How to Find the LCM of 2631 and 2638?

Answer:

Least Common Multiple of 2631 and 2638 = 6940578

Step 1: Find the prime factorization of 2631

2631 = 3 x 877

Step 2: Find the prime factorization of 2638

2638 = 2 x 1319

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

LCM = 6940578 = 2 x 3 x 877 x 1319

Step 4: Therefore, the least common multiple of 2631 and 2638 is 6940578.