Least Common Multiple of 3538 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 3538 and 3544 the smallest integer that is 6269336 that is divisible by both numbers.

Least Common Multiple (LCM) of 3538 and 3544 is 6269336.

LCM(3538,3544) = 6269336

LCM of 3538 and 3544

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

LCM of:
and

Least Common Multiple of 3538 and 3544

LCM of 3538 and 3544 is 6269336

Least common multiple can be found by multiplying the highest exponent prime factors of 3538 and 3544. First we will calculate the prime factors of 3538 and 3544.

Prime Factorization of 3538


2 3538
29 1769
61 61
1

Prime factors of 3538 are 2, 29,61. Prime factorization of 3538 in exponential form is:

3538 = 21×291×611

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 3538 and 3544.

LCM(3538,3544) = 23×291×611×4431
LCM(3538,3544) = 6269336

Factors of 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1, 2, 29, 58, 61, 122, 1769, 3538

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 3538 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 3538 and 3544, than apply into the LCM equation.

GCF(3538,3544) = 2
LCM(3538,3544) = ( 3538 × 3544) / 2
LCM(3538,3544) = 12538672 / 2
LCM(3538,3544) = 6269336

Properties of LCM 3538 and 3544

(i) The LCM of 3544 and 3538 is associative

LCM of 3538 and 3544 = LCM of 3544 and 3538

Related Least Common Multiples of 3538

Related Least Common Multiples of 3544

Frequently Asked Questions on LCM of 3538 and 3544

1. What is the LCM of 3538 and 3544?

Answer: LCM of 3538 and 3544 is 6269336.

2. What are the Factors of 3538?

Answer: Factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538. There are 8 integers that are factors of 3538. The greatest factor of 3538 is 3538.

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 3538 and 3544?

Answer:

Least Common Multiple of 3538 and 3544 = 6269336

Step 1: Find the prime factorization of 3538

3538 = 2 x 29 x 61

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 = 6269336 = 2 x 2 x 2 x 29 x 61 x 443

Step 4: Therefore, the least common multiple of 3538 and 3544 is 6269336.