Least Common Multiple of 2636 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 2636 and 2637 the smallest integer that is 6951132 that is divisible by both numbers.

Least Common Multiple (LCM) of 2636 and 2637 is 6951132.

LCM(2636,2637) = 6951132

LCM of 2636 and 2637

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

LCM of:
and

Least Common Multiple of 2636 and 2637

LCM of 2636 and 2637 is 6951132

Least common multiple can be found by multiplying the highest exponent prime factors of 2636 and 2637. First we will calculate the prime factors of 2636 and 2637.

Prime Factorization of 2636


2 2636
2 1318
659 659
1

Prime factors of 2636 are 2,659. Prime factorization of 2636 in exponential form is:

2636 = 22×6591

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 2636 and 2637.

LCM(2636,2637) = 22×32×2931×6591
LCM(2636,2637) = 6951132

Factors of 2636

List of positive integer factors of 2636 that divides 2636 without a remainder.

1, 2, 4, 659, 1318, 2636

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 2636 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 2636 and 2637, than apply into the LCM equation.

GCF(2636,2637) = 1
LCM(2636,2637) = ( 2636 × 2637) / 1
LCM(2636,2637) = 6951132 / 1
LCM(2636,2637) = 6951132

Properties of LCM 2636 and 2637

(i) The LCM of 2637 and 2636 is associative

LCM of 2636 and 2637 = LCM of 2637 and 2636

Related Least Common Multiples of 2636

Related Least Common Multiples of 2637

Frequently Asked Questions on LCM of 2636 and 2637

1. What is the LCM of 2636 and 2637?

Answer: LCM of 2636 and 2637 is 6951132.

2. What are the Factors of 2636?

Answer: Factors of 2636 are 1, 2, 4, 659, 1318, 2636. There are 6 integers that are factors of 2636. The greatest factor of 2636 is 2636.

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 2636 and 2637?

Answer:

Least Common Multiple of 2636 and 2637 = 6951132

Step 1: Find the prime factorization of 2636

2636 = 2 x 2 x 659

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 = 6951132 = 2 x 2 x 3 x 3 x 293 x 659

Step 4: Therefore, the least common multiple of 2636 and 2637 is 6951132.