Least Common Multiple of 3537 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 3537 and 3544 the smallest integer that is 12535128 that is divisible by both numbers.

Least Common Multiple (LCM) of 3537 and 3544 is 12535128.

LCM(3537,3544) = 12535128

LCM of 3537 and 3544

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

LCM of:
and

Least Common Multiple of 3537 and 3544

LCM of 3537 and 3544 is 12535128

Least common multiple can be found by multiplying the highest exponent prime factors of 3537 and 3544. First we will calculate the prime factors of 3537 and 3544.

Prime Factorization of 3537


3 3537
3 1179
3 393
131 131
1

Prime factors of 3537 are 3,131. Prime factorization of 3537 in exponential form is:

3537 = 33×1311

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 3537 and 3544.

LCM(3537,3544) = 23×33×1311×4431
LCM(3537,3544) = 12535128

Factors of 3537

List of positive integer factors of 3537 that divides 3537 without a remainder.

1, 3, 9, 27, 131, 393, 1179, 3537

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 3537 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 3537 and 3544, than apply into the LCM equation.

GCF(3537,3544) = 1
LCM(3537,3544) = ( 3537 × 3544) / 1
LCM(3537,3544) = 12535128 / 1
LCM(3537,3544) = 12535128

Properties of LCM 3537 and 3544

(i) The LCM of 3544 and 3537 is associative

LCM of 3537 and 3544 = LCM of 3544 and 3537

Related Least Common Multiples of 3537

Related Least Common Multiples of 3544

Frequently Asked Questions on LCM of 3537 and 3544

1. What is the LCM of 3537 and 3544?

Answer: LCM of 3537 and 3544 is 12535128.

2. What are the Factors of 3537?

Answer: Factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537. There are 8 integers that are factors of 3537. The greatest factor of 3537 is 3537.

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 3537 and 3544?

Answer:

Least Common Multiple of 3537 and 3544 = 12535128

Step 1: Find the prime factorization of 3537

3537 = 3 x 3 x 3 x 131

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 = 12535128 = 2 x 2 x 2 x 3 x 3 x 3 x 131 x 443

Step 4: Therefore, the least common multiple of 3537 and 3544 is 12535128.