Least Common Multiple of 2633 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 2633 and 2640 the smallest integer that is 6951120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2633 and 2640 is 6951120.

LCM(2633,2640) = 6951120

LCM of 2633 and 2640

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

LCM of:
and

Least Common Multiple of 2633 and 2640

LCM of 2633 and 2640 is 6951120

Least common multiple can be found by multiplying the highest exponent prime factors of 2633 and 2640. First we will calculate the prime factors of 2633 and 2640.

Prime Factorization of 2633


2633 2633
1

Prime factors of 2633 are 2633. Prime factorization of 2633 in exponential form is:

2633 = 26331

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 2633 and 2640.

LCM(2633,2640) = 24×31×51×111×26331
LCM(2633,2640) = 6951120

Factors of 2633

List of positive integer factors of 2633 that divides 2633 without a remainder.

1, 2633

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 2633 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 2633 and 2640, than apply into the LCM equation.

GCF(2633,2640) = 1
LCM(2633,2640) = ( 2633 × 2640) / 1
LCM(2633,2640) = 6951120 / 1
LCM(2633,2640) = 6951120

Properties of LCM 2633 and 2640

(i) The LCM of 2640 and 2633 is associative

LCM of 2633 and 2640 = LCM of 2640 and 2633

Related Least Common Multiples of 2633

Related Least Common Multiples of 2640

Frequently Asked Questions on LCM of 2633 and 2640

1. What is the LCM of 2633 and 2640?

Answer: LCM of 2633 and 2640 is 6951120.

2. What are the Factors of 2633?

Answer: Factors of 2633 are 1, 2633. There are 2 integers that are factors of 2633. The greatest factor of 2633 is 2633.

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 2633 and 2640?

Answer:

Least Common Multiple of 2633 and 2640 = 6951120

Step 1: Find the prime factorization of 2633

2633 = 2633

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 = 6951120 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 2633

Step 4: Therefore, the least common multiple of 2633 and 2640 is 6951120.