Least Common Multiple of 2634 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 2634 and 2640 the smallest integer that is 1158960 that is divisible by both numbers.

Least Common Multiple (LCM) of 2634 and 2640 is 1158960.

LCM(2634,2640) = 1158960

LCM of 2634 and 2640

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

LCM of:
and

Least Common Multiple of 2634 and 2640

LCM of 2634 and 2640 is 1158960

Least common multiple can be found by multiplying the highest exponent prime factors of 2634 and 2640. First we will calculate the prime factors of 2634 and 2640.

Prime Factorization of 2634


2 2634
3 1317
439 439
1

Prime factors of 2634 are 2, 3,439. Prime factorization of 2634 in exponential form is:

2634 = 21×31×4391

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 2634 and 2640.

LCM(2634,2640) = 24×31×51×111×4391
LCM(2634,2640) = 1158960

Factors of 2634

List of positive integer factors of 2634 that divides 2634 without a remainder.

1, 2, 3, 6, 439, 878, 1317, 2634

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 2634 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 2634 and 2640, than apply into the LCM equation.

GCF(2634,2640) = 6
LCM(2634,2640) = ( 2634 × 2640) / 6
LCM(2634,2640) = 6953760 / 6
LCM(2634,2640) = 1158960

Properties of LCM 2634 and 2640

(i) The LCM of 2640 and 2634 is associative

LCM of 2634 and 2640 = LCM of 2640 and 2634

Related Least Common Multiples of 2634

Related Least Common Multiples of 2640

Frequently Asked Questions on LCM of 2634 and 2640

1. What is the LCM of 2634 and 2640?

Answer: LCM of 2634 and 2640 is 1158960.

2. What are the Factors of 2634?

Answer: Factors of 2634 are 1, 2, 3, 6, 439, 878, 1317, 2634. There are 8 integers that are factors of 2634. The greatest factor of 2634 is 2634.

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 2634 and 2640?

Answer:

Least Common Multiple of 2634 and 2640 = 1158960

Step 1: Find the prime factorization of 2634

2634 = 2 x 3 x 439

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 = 1158960 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 439

Step 4: Therefore, the least common multiple of 2634 and 2640 is 1158960.