Least Common Multiple of 2634 and 2637

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 2637 the smallest integer that is 2315286 that is divisible by both numbers.

Least Common Multiple (LCM) of 2634 and 2637 is 2315286.

LCM(2634,2637) = 2315286

LCM of 2634 and 2637

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

LCM of:
and

Least Common Multiple of 2634 and 2637

LCM of 2634 and 2637 is 2315286

Least common multiple can be found by multiplying the highest exponent prime factors of 2634 and 2637. First we will calculate the prime factors of 2634 and 2637.

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 2637


3 2637
3 879
293 293
1

Prime factors of 2637 are 3,293. Prime factorization of 2637 in exponential form is:

2637 = 32×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 2634 and 2637.

LCM(2634,2637) = 21×32×2931×4391
LCM(2634,2637) = 2315286

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 2637

List of positive integer factors of 2637 that divides 2637 without a remainder.

1, 3, 9, 293, 879, 2637

Least Common Multiple of 2634 and 2637 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 2637, than apply into the LCM equation.

GCF(2634,2637) = 3
LCM(2634,2637) = ( 2634 × 2637) / 3
LCM(2634,2637) = 6945858 / 3
LCM(2634,2637) = 2315286

Properties of LCM 2634 and 2637

(i) The LCM of 2637 and 2634 is associative

LCM of 2634 and 2637 = LCM of 2637 and 2634

Related Least Common Multiples of 2634

Related Least Common Multiples of 2637

Frequently Asked Questions on LCM of 2634 and 2637

1. What is the LCM of 2634 and 2637?

Answer: LCM of 2634 and 2637 is 2315286.

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 2637?

Answer: Factors of 2637 are 1, 3, 9, 293, 879, 2637. There are 6 integers that are factors of 2637. The greatest factor of 2637 is 2637.

4. How to Find the LCM of 2634 and 2637?

Answer:

Least Common Multiple of 2634 and 2637 = 2315286

Step 1: Find the prime factorization of 2634

2634 = 2 x 3 x 439

Step 2: Find the prime factorization of 2637

2637 = 3 x 3 x 293

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

LCM = 2315286 = 2 x 3 x 3 x 293 x 439

Step 4: Therefore, the least common multiple of 2634 and 2637 is 2315286.