Least Common Multiple of 2635 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 2635 and 2640 the smallest integer that is 1391280 that is divisible by both numbers.

Least Common Multiple (LCM) of 2635 and 2640 is 1391280.

LCM(2635,2640) = 1391280

LCM of 2635 and 2640

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

LCM of:
and

Least Common Multiple of 2635 and 2640

LCM of 2635 and 2640 is 1391280

Least common multiple can be found by multiplying the highest exponent prime factors of 2635 and 2640. First we will calculate the prime factors of 2635 and 2640.

Prime Factorization of 2635


5 2635
17 527
31 31
1

Prime factors of 2635 are 5, 17,31. Prime factorization of 2635 in exponential form is:

2635 = 51×171×311

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 2635 and 2640.

LCM(2635,2640) = 24×31×51×111×171×311
LCM(2635,2640) = 1391280

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1, 5, 17, 31, 85, 155, 527, 2635

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 2635 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 2635 and 2640, than apply into the LCM equation.

GCF(2635,2640) = 5
LCM(2635,2640) = ( 2635 × 2640) / 5
LCM(2635,2640) = 6956400 / 5
LCM(2635,2640) = 1391280

Properties of LCM 2635 and 2640

(i) The LCM of 2640 and 2635 is associative

LCM of 2635 and 2640 = LCM of 2640 and 2635

Related Least Common Multiples of 2635

Related Least Common Multiples of 2640

Frequently Asked Questions on LCM of 2635 and 2640

1. What is the LCM of 2635 and 2640?

Answer: LCM of 2635 and 2640 is 1391280.

2. What are the Factors of 2635?

Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.

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 2635 and 2640?

Answer:

Least Common Multiple of 2635 and 2640 = 1391280

Step 1: Find the prime factorization of 2635

2635 = 5 x 17 x 31

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 = 1391280 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 2635 and 2640 is 1391280.