Least Common Multiple of 2621 and 2624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2621 and 2624 the smallest integer that is 6877504 that is divisible by both numbers.

Least Common Multiple (LCM) of 2621 and 2624 is 6877504.

LCM(2621,2624) = 6877504

LCM of 2621 and 2624

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

LCM of:
and

Least Common Multiple of 2621 and 2624

LCM of 2621 and 2624 is 6877504

Least common multiple can be found by multiplying the highest exponent prime factors of 2621 and 2624. First we will calculate the prime factors of 2621 and 2624.

Prime Factorization of 2621


2621 2621
1

Prime factors of 2621 are 2621. Prime factorization of 2621 in exponential form is:

2621 = 26211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2621 and 2624.

LCM(2621,2624) = 26×411×26211
LCM(2621,2624) = 6877504

Factors of 2621

List of positive integer factors of 2621 that divides 2621 without a remainder.

1, 2621

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

Least Common Multiple of 2621 and 2624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2621 and 2624, than apply into the LCM equation.

GCF(2621,2624) = 1
LCM(2621,2624) = ( 2621 × 2624) / 1
LCM(2621,2624) = 6877504 / 1
LCM(2621,2624) = 6877504

Properties of LCM 2621 and 2624

(i) The LCM of 2624 and 2621 is associative

LCM of 2621 and 2624 = LCM of 2624 and 2621

Related Least Common Multiples of 2621

Related Least Common Multiples of 2624

Frequently Asked Questions on LCM of 2621 and 2624

1. What is the LCM of 2621 and 2624?

Answer: LCM of 2621 and 2624 is 6877504.

2. What are the Factors of 2621?

Answer: Factors of 2621 are 1, 2621. There are 2 integers that are factors of 2621. The greatest factor of 2621 is 2621.

3. 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.

4. How to Find the LCM of 2621 and 2624?

Answer:

Least Common Multiple of 2621 and 2624 = 6877504

Step 1: Find the prime factorization of 2621

2621 = 2621

Step 2: Find the prime factorization of 2624

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

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

LCM = 6877504 = 2 x 2 x 2 x 2 x 2 x 2 x 41 x 2621

Step 4: Therefore, the least common multiple of 2621 and 2624 is 6877504.