Least Common Multiple of 2624 and 2632

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 2632 the smallest integer that is 863296 that is divisible by both numbers.

Least Common Multiple (LCM) of 2624 and 2632 is 863296.

LCM(2624,2632) = 863296

LCM of 2624 and 2632

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

LCM of:
and

Least Common Multiple of 2624 and 2632

LCM of 2624 and 2632 is 863296

Least common multiple can be found by multiplying the highest exponent prime factors of 2624 and 2632. First we will calculate the prime factors of 2624 and 2632.

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 2632


2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 2632 are 2, 7,47. Prime factorization of 2632 in exponential form is:

2632 = 23×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2624 and 2632.

LCM(2624,2632) = 26×71×411×471
LCM(2624,2632) = 863296

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 2632

List of positive integer factors of 2632 that divides 2632 without a remainder.

1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632

Least Common Multiple of 2624 and 2632 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 2632, than apply into the LCM equation.

GCF(2624,2632) = 8
LCM(2624,2632) = ( 2624 × 2632) / 8
LCM(2624,2632) = 6906368 / 8
LCM(2624,2632) = 863296

Properties of LCM 2624 and 2632

(i) The LCM of 2632 and 2624 is associative

LCM of 2624 and 2632 = LCM of 2632 and 2624

Related Least Common Multiples of 2624

Related Least Common Multiples of 2632

Frequently Asked Questions on LCM of 2624 and 2632

1. What is the LCM of 2624 and 2632?

Answer: LCM of 2624 and 2632 is 863296.

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 2632?

Answer: Factors of 2632 are 1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632. There are 16 integers that are factors of 2632. The greatest factor of 2632 is 2632.

4. How to Find the LCM of 2624 and 2632?

Answer:

Least Common Multiple of 2624 and 2632 = 863296

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 2632

2632 = 2 x 2 x 2 x 7 x 47

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

LCM = 863296 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 41 x 47

Step 4: Therefore, the least common multiple of 2624 and 2632 is 863296.