Least Common Multiple of 3536 and 3544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3536 and 3544 the smallest integer that is 1566448 that is divisible by both numbers.

Least Common Multiple (LCM) of 3536 and 3544 is 1566448.

LCM(3536,3544) = 1566448

LCM of 3536 and 3544

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

LCM of:
and

Least Common Multiple of 3536 and 3544

LCM of 3536 and 3544 is 1566448

Least common multiple can be found by multiplying the highest exponent prime factors of 3536 and 3544. First we will calculate the prime factors of 3536 and 3544.

Prime Factorization of 3536


2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 3536 are 2, 13,17. Prime factorization of 3536 in exponential form is:

3536 = 24×131×171

Prime Factorization of 3544


2 3544
2 1772
2 886
443 443
1

Prime factors of 3544 are 2,443. Prime factorization of 3544 in exponential form is:

3544 = 23×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 3536 and 3544.

LCM(3536,3544) = 24×131×171×4431
LCM(3536,3544) = 1566448

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536

Factors of 3544

List of positive integer factors of 3544 that divides 3544 without a remainder.

1, 2, 4, 8, 443, 886, 1772, 3544

Least Common Multiple of 3536 and 3544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3536 and 3544, than apply into the LCM equation.

GCF(3536,3544) = 8
LCM(3536,3544) = ( 3536 × 3544) / 8
LCM(3536,3544) = 12531584 / 8
LCM(3536,3544) = 1566448

Properties of LCM 3536 and 3544

(i) The LCM of 3544 and 3536 is associative

LCM of 3536 and 3544 = LCM of 3544 and 3536

Related Least Common Multiples of 3536

Related Least Common Multiples of 3544

Frequently Asked Questions on LCM of 3536 and 3544

1. What is the LCM of 3536 and 3544?

Answer: LCM of 3536 and 3544 is 1566448.

2. What are the Factors of 3536?

Answer: Factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536. There are 20 integers that are factors of 3536. The greatest factor of 3536 is 3536.

3. What are the Factors of 3544?

Answer: Factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544. There are 8 integers that are factors of 3544. The greatest factor of 3544 is 3544.

4. How to Find the LCM of 3536 and 3544?

Answer:

Least Common Multiple of 3536 and 3544 = 1566448

Step 1: Find the prime factorization of 3536

3536 = 2 x 2 x 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 3544

3544 = 2 x 2 x 2 x 443

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

LCM = 1566448 = 2 x 2 x 2 x 2 x 13 x 17 x 443

Step 4: Therefore, the least common multiple of 3536 and 3544 is 1566448.