Least Common Multiple of 2632 and 2640

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 2640 the smallest integer that is 868560 that is divisible by both numbers.

Least Common Multiple (LCM) of 2632 and 2640 is 868560.

LCM(2632,2640) = 868560

LCM of 2632 and 2640

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

LCM of:
and

Least Common Multiple of 2632 and 2640

LCM of 2632 and 2640 is 868560

Least common multiple can be found by multiplying the highest exponent prime factors of 2632 and 2640. First we will calculate the prime factors of 2632 and 2640.

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 2640


2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 2640 are 2, 3, 5,11. Prime factorization of 2640 in exponential form is:

2640 = 24×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2632 and 2640.

LCM(2632,2640) = 24×31×51×71×111×471
LCM(2632,2640) = 868560

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 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640

Least Common Multiple of 2632 and 2640 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 2640, than apply into the LCM equation.

GCF(2632,2640) = 8
LCM(2632,2640) = ( 2632 × 2640) / 8
LCM(2632,2640) = 6948480 / 8
LCM(2632,2640) = 868560

Properties of LCM 2632 and 2640

(i) The LCM of 2640 and 2632 is associative

LCM of 2632 and 2640 = LCM of 2640 and 2632

Related Least Common Multiples of 2632

Related Least Common Multiples of 2640

Frequently Asked Questions on LCM of 2632 and 2640

1. What is the LCM of 2632 and 2640?

Answer: LCM of 2632 and 2640 is 868560.

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 2640?

Answer: Factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640. There are 40 integers that are factors of 2640. The greatest factor of 2640 is 2640.

4. How to Find the LCM of 2632 and 2640?

Answer:

Least Common Multiple of 2632 and 2640 = 868560

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 2640

2640 = 2 x 2 x 2 x 2 x 3 x 5 x 11

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

LCM = 868560 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 47

Step 4: Therefore, the least common multiple of 2632 and 2640 is 868560.