Least Common Multiple of 2624 and 2629

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 2629 the smallest integer that is 6898496 that is divisible by both numbers.

Least Common Multiple (LCM) of 2624 and 2629 is 6898496.

LCM(2624,2629) = 6898496

LCM of 2624 and 2629

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

LCM of:
and

Least Common Multiple of 2624 and 2629

LCM of 2624 and 2629 is 6898496

Least common multiple can be found by multiplying the highest exponent prime factors of 2624 and 2629. First we will calculate the prime factors of 2624 and 2629.

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 2629


11 2629
239 239
1

Prime factors of 2629 are 11,239. Prime factorization of 2629 in exponential form is:

2629 = 111×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 2624 and 2629.

LCM(2624,2629) = 26×111×411×2391
LCM(2624,2629) = 6898496

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 2629

List of positive integer factors of 2629 that divides 2629 without a remainder.

1, 11, 239, 2629

Least Common Multiple of 2624 and 2629 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 2629, than apply into the LCM equation.

GCF(2624,2629) = 1
LCM(2624,2629) = ( 2624 × 2629) / 1
LCM(2624,2629) = 6898496 / 1
LCM(2624,2629) = 6898496

Properties of LCM 2624 and 2629

(i) The LCM of 2629 and 2624 is associative

LCM of 2624 and 2629 = LCM of 2629 and 2624

Related Least Common Multiples of 2624

Related Least Common Multiples of 2629

Frequently Asked Questions on LCM of 2624 and 2629

1. What is the LCM of 2624 and 2629?

Answer: LCM of 2624 and 2629 is 6898496.

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 2629?

Answer: Factors of 2629 are 1, 11, 239, 2629. There are 4 integers that are factors of 2629. The greatest factor of 2629 is 2629.

4. How to Find the LCM of 2624 and 2629?

Answer:

Least Common Multiple of 2624 and 2629 = 6898496

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 2629

2629 = 11 x 239

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

LCM = 6898496 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 41 x 239

Step 4: Therefore, the least common multiple of 2624 and 2629 is 6898496.