Least Common Multiple of 2624 and 2631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2624 and 2631 the smallest integer that is 6903744 that is divisible by both numbers.

Least Common Multiple (LCM) of 2624 and 2631 is 6903744.

LCM(2624,2631) = 6903744

LCM of 2624 and 2631

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

LCM of:
and

Least Common Multiple of 2624 and 2631

LCM of 2624 and 2631 is 6903744

Least common multiple can be found by multiplying the highest exponent prime factors of 2624 and 2631. First we will calculate the prime factors of 2624 and 2631.

Prime Factorization of 2624


2 2624
2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 2624 are 2,41. Prime factorization of 2624 in exponential form is:

2624 = 26×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2624 and 2631.

LCM(2624,2631) = 26×31×411×8771
LCM(2624,2631) = 6903744

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624

Factors of 2631

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

1, 3, 877, 2631

Least Common Multiple of 2624 and 2631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2624 and 2631, than apply into the LCM equation.

GCF(2624,2631) = 1
LCM(2624,2631) = ( 2624 × 2631) / 1
LCM(2624,2631) = 6903744 / 1
LCM(2624,2631) = 6903744

Properties of LCM 2624 and 2631

(i) The LCM of 2631 and 2624 is associative

LCM of 2624 and 2631 = LCM of 2631 and 2624

Related Least Common Multiples of 2624

Related Least Common Multiples of 2631

Frequently Asked Questions on LCM of 2624 and 2631

1. What is the LCM of 2624 and 2631?

Answer: LCM of 2624 and 2631 is 6903744.

2. What are the Factors of 2624?

Answer: Factors of 2624 are 1, 2, 4, 8, 16, 32, 41, 64, 82, 164, 328, 656, 1312, 2624. There are 14 integers that are factors of 2624. The greatest factor of 2624 is 2624.

3. 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.

4. How to Find the LCM of 2624 and 2631?

Answer:

Least Common Multiple of 2624 and 2631 = 6903744

Step 1: Find the prime factorization of 2624

2624 = 2 x 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 2631

2631 = 3 x 877

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

LCM = 6903744 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 41 x 877

Step 4: Therefore, the least common multiple of 2624 and 2631 is 6903744.