Least Common Multiple of 2632 and 2639

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 2639 the smallest integer that is 992264 that is divisible by both numbers.

Least Common Multiple (LCM) of 2632 and 2639 is 992264.

LCM(2632,2639) = 992264

LCM of 2632 and 2639

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

LCM of:
and

Least Common Multiple of 2632 and 2639

LCM of 2632 and 2639 is 992264

Least common multiple can be found by multiplying the highest exponent prime factors of 2632 and 2639. First we will calculate the prime factors of 2632 and 2639.

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 2639


7 2639
13 377
29 29
1

Prime factors of 2639 are 7, 13,29. Prime factorization of 2639 in exponential form is:

2639 = 71×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2632 and 2639.

LCM(2632,2639) = 23×71×131×291×471
LCM(2632,2639) = 992264

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 2639

List of positive integer factors of 2639 that divides 2639 without a remainder.

1, 7, 13, 29, 91, 203, 377, 2639

Least Common Multiple of 2632 and 2639 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 2639, than apply into the LCM equation.

GCF(2632,2639) = 7
LCM(2632,2639) = ( 2632 × 2639) / 7
LCM(2632,2639) = 6945848 / 7
LCM(2632,2639) = 992264

Properties of LCM 2632 and 2639

(i) The LCM of 2639 and 2632 is associative

LCM of 2632 and 2639 = LCM of 2639 and 2632

Related Least Common Multiples of 2632

Related Least Common Multiples of 2639

Frequently Asked Questions on LCM of 2632 and 2639

1. What is the LCM of 2632 and 2639?

Answer: LCM of 2632 and 2639 is 992264.

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 2639?

Answer: Factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639. There are 8 integers that are factors of 2639. The greatest factor of 2639 is 2639.

4. How to Find the LCM of 2632 and 2639?

Answer:

Least Common Multiple of 2632 and 2639 = 992264

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 2639

2639 = 7 x 13 x 29

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

LCM = 992264 = 2 x 2 x 2 x 7 x 13 x 29 x 47

Step 4: Therefore, the least common multiple of 2632 and 2639 is 992264.