Least Common Multiple of 2636 and 2644

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 2644 the smallest integer that is 1742396 that is divisible by both numbers.

Least Common Multiple (LCM) of 2636 and 2644 is 1742396.

LCM(2636,2644) = 1742396

LCM of 2636 and 2644

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

LCM of:
and

Least Common Multiple of 2636 and 2644

LCM of 2636 and 2644 is 1742396

Least common multiple can be found by multiplying the highest exponent prime factors of 2636 and 2644. First we will calculate the prime factors of 2636 and 2644.

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 2644


2 2644
2 1322
661 661
1

Prime factors of 2644 are 2,661. Prime factorization of 2644 in exponential form is:

2644 = 22×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 2636 and 2644.

LCM(2636,2644) = 22×6591×6611
LCM(2636,2644) = 1742396

Factors of 2636

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

1, 2, 4, 659, 1318, 2636

Factors of 2644

List of positive integer factors of 2644 that divides 2644 without a remainder.

1, 2, 4, 661, 1322, 2644

Least Common Multiple of 2636 and 2644 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 2644, than apply into the LCM equation.

GCF(2636,2644) = 4
LCM(2636,2644) = ( 2636 × 2644) / 4
LCM(2636,2644) = 6969584 / 4
LCM(2636,2644) = 1742396

Properties of LCM 2636 and 2644

(i) The LCM of 2644 and 2636 is associative

LCM of 2636 and 2644 = LCM of 2644 and 2636

Related Least Common Multiples of 2636

Related Least Common Multiples of 2644

Frequently Asked Questions on LCM of 2636 and 2644

1. What is the LCM of 2636 and 2644?

Answer: LCM of 2636 and 2644 is 1742396.

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 2644?

Answer: Factors of 2644 are 1, 2, 4, 661, 1322, 2644. There are 6 integers that are factors of 2644. The greatest factor of 2644 is 2644.

4. How to Find the LCM of 2636 and 2644?

Answer:

Least Common Multiple of 2636 and 2644 = 1742396

Step 1: Find the prime factorization of 2636

2636 = 2 x 2 x 659

Step 2: Find the prime factorization of 2644

2644 = 2 x 2 x 661

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

LCM = 1742396 = 2 x 2 x 659 x 661

Step 4: Therefore, the least common multiple of 2636 and 2644 is 1742396.