Least Common Multiple of 3549 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 3549 and 3552 the smallest integer that is 4202016 that is divisible by both numbers.

Least Common Multiple (LCM) of 3549 and 3552 is 4202016.

LCM(3549,3552) = 4202016

LCM of 3549 and 3552

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

LCM of:
and

Least Common Multiple of 3549 and 3552

LCM of 3549 and 3552 is 4202016

Least common multiple can be found by multiplying the highest exponent prime factors of 3549 and 3552. First we will calculate the prime factors of 3549 and 3552.

Prime Factorization of 3549


3 3549
7 1183
13 169
13 13
1

Prime factors of 3549 are 3, 7,13. Prime factorization of 3549 in exponential form is:

3549 = 31×71×132

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 3549 and 3552.

LCM(3549,3552) = 25×31×71×132×371
LCM(3549,3552) = 4202016

Factors of 3549

List of positive integer factors of 3549 that divides 3549 without a remainder.

1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549

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 3549 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 3549 and 3552, than apply into the LCM equation.

GCF(3549,3552) = 3
LCM(3549,3552) = ( 3549 × 3552) / 3
LCM(3549,3552) = 12606048 / 3
LCM(3549,3552) = 4202016

Properties of LCM 3549 and 3552

(i) The LCM of 3552 and 3549 is associative

LCM of 3549 and 3552 = LCM of 3552 and 3549

Related Least Common Multiples of 3549

Related Least Common Multiples of 3552

Frequently Asked Questions on LCM of 3549 and 3552

1. What is the LCM of 3549 and 3552?

Answer: LCM of 3549 and 3552 is 4202016.

2. What are the Factors of 3549?

Answer: Factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549. There are 12 integers that are factors of 3549. The greatest factor of 3549 is 3549.

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 3549 and 3552?

Answer:

Least Common Multiple of 3549 and 3552 = 4202016

Step 1: Find the prime factorization of 3549

3549 = 3 x 7 x 13 x 13

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 = 4202016 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 13 x 37

Step 4: Therefore, the least common multiple of 3549 and 3552 is 4202016.