Least Common Multiple of 3544 and 3552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3544 and 3552 the smallest integer that is 1573536 that is divisible by both numbers.

Least Common Multiple (LCM) of 3544 and 3552 is 1573536.

LCM(3544,3552) = 1573536

LCM of 3544 and 3552

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

LCM of:
and

Least Common Multiple of 3544 and 3552

LCM of 3544 and 3552 is 1573536

Least common multiple can be found by multiplying the highest exponent prime factors of 3544 and 3552. First we will calculate the prime factors of 3544 and 3552.

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

Prime Factorization of 3552


2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 3552 are 2, 3,37. Prime factorization of 3552 in exponential form is:

3552 = 25×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3544 and 3552.

LCM(3544,3552) = 25×31×371×4431
LCM(3544,3552) = 1573536

Factors of 3544

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

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

Factors of 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552

Least Common Multiple of 3544 and 3552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3544 and 3552, than apply into the LCM equation.

GCF(3544,3552) = 8
LCM(3544,3552) = ( 3544 × 3552) / 8
LCM(3544,3552) = 12588288 / 8
LCM(3544,3552) = 1573536

Properties of LCM 3544 and 3552

(i) The LCM of 3552 and 3544 is associative

LCM of 3544 and 3552 = LCM of 3552 and 3544

Related Least Common Multiples of 3544

Related Least Common Multiples of 3552

Frequently Asked Questions on LCM of 3544 and 3552

1. What is the LCM of 3544 and 3552?

Answer: LCM of 3544 and 3552 is 1573536.

2. 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.

3. What are the Factors of 3552?

Answer: Factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. There are 24 integers that are factors of 3552. The greatest factor of 3552 is 3552.

4. How to Find the LCM of 3544 and 3552?

Answer:

Least Common Multiple of 3544 and 3552 = 1573536

Step 1: Find the prime factorization of 3544

3544 = 2 x 2 x 2 x 443

Step 2: Find the prime factorization of 3552

3552 = 2 x 2 x 2 x 2 x 2 x 3 x 37

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

LCM = 1573536 = 2 x 2 x 2 x 2 x 2 x 3 x 37 x 443

Step 4: Therefore, the least common multiple of 3544 and 3552 is 1573536.