Least Common Multiple of 2632 and 2637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2632 and 2637 the smallest integer that is 6940584 that is divisible by both numbers.

Least Common Multiple (LCM) of 2632 and 2637 is 6940584.

LCM(2632,2637) = 6940584

LCM of 2632 and 2637

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

LCM of:
and

Least Common Multiple of 2632 and 2637

LCM of 2632 and 2637 is 6940584

Least common multiple can be found by multiplying the highest exponent prime factors of 2632 and 2637. First we will calculate the prime factors of 2632 and 2637.

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

Prime Factorization of 2637


3 2637
3 879
293 293
1

Prime factors of 2637 are 3,293. Prime factorization of 2637 in exponential form is:

2637 = 32×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 2632 and 2637.

LCM(2632,2637) = 23×32×71×471×2931
LCM(2632,2637) = 6940584

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

Factors of 2637

List of positive integer factors of 2637 that divides 2637 without a remainder.

1, 3, 9, 293, 879, 2637

Least Common Multiple of 2632 and 2637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2632 and 2637, than apply into the LCM equation.

GCF(2632,2637) = 1
LCM(2632,2637) = ( 2632 × 2637) / 1
LCM(2632,2637) = 6940584 / 1
LCM(2632,2637) = 6940584

Properties of LCM 2632 and 2637

(i) The LCM of 2637 and 2632 is associative

LCM of 2632 and 2637 = LCM of 2637 and 2632

Related Least Common Multiples of 2632

Related Least Common Multiples of 2637

Frequently Asked Questions on LCM of 2632 and 2637

1. What is the LCM of 2632 and 2637?

Answer: LCM of 2632 and 2637 is 6940584.

2. 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.

3. What are the Factors of 2637?

Answer: Factors of 2637 are 1, 3, 9, 293, 879, 2637. There are 6 integers that are factors of 2637. The greatest factor of 2637 is 2637.

4. How to Find the LCM of 2632 and 2637?

Answer:

Least Common Multiple of 2632 and 2637 = 6940584

Step 1: Find the prime factorization of 2632

2632 = 2 x 2 x 2 x 7 x 47

Step 2: Find the prime factorization of 2637

2637 = 3 x 3 x 293

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

LCM = 6940584 = 2 x 2 x 2 x 3 x 3 x 7 x 47 x 293

Step 4: Therefore, the least common multiple of 2632 and 2637 is 6940584.