Least Common Multiple of 5539 and 5544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5539 and 5544 the smallest integer that is 30708216 that is divisible by both numbers.

Least Common Multiple (LCM) of 5539 and 5544 is 30708216.

LCM(5539,5544) = 30708216

LCM of 5539 and 5544

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

LCM of:
and

Least Common Multiple of 5539 and 5544

LCM of 5539 and 5544 is 30708216

Least common multiple can be found by multiplying the highest exponent prime factors of 5539 and 5544. First we will calculate the prime factors of 5539 and 5544.

Prime Factorization of 5539


29 5539
191 191
1

Prime factors of 5539 are 29,191. Prime factorization of 5539 in exponential form is:

5539 = 291×1911

Prime Factorization of 5544


2 5544
2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 5544 are 2, 3, 7,11. Prime factorization of 5544 in exponential form is:

5544 = 23×32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5539 and 5544.

LCM(5539,5544) = 23×32×71×111×291×1911
LCM(5539,5544) = 30708216

Factors of 5539

List of positive integer factors of 5539 that divides 5539 without a remainder.

1, 29, 191, 5539

Factors of 5544

List of positive integer factors of 5544 that divides 5544 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544

Least Common Multiple of 5539 and 5544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5539 and 5544, than apply into the LCM equation.

GCF(5539,5544) = 1
LCM(5539,5544) = ( 5539 × 5544) / 1
LCM(5539,5544) = 30708216 / 1
LCM(5539,5544) = 30708216

Properties of LCM 5539 and 5544

(i) The LCM of 5544 and 5539 is associative

LCM of 5539 and 5544 = LCM of 5544 and 5539

Related Least Common Multiples of 5539

Related Least Common Multiples of 5544

Frequently Asked Questions on LCM of 5539 and 5544

1. What is the LCM of 5539 and 5544?

Answer: LCM of 5539 and 5544 is 30708216.

2. What are the Factors of 5539?

Answer: Factors of 5539 are 1, 29, 191, 5539. There are 4 integers that are factors of 5539. The greatest factor of 5539 is 5539.

3. What are the Factors of 5544?

Answer: Factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544. There are 48 integers that are factors of 5544. The greatest factor of 5544 is 5544.

4. How to Find the LCM of 5539 and 5544?

Answer:

Least Common Multiple of 5539 and 5544 = 30708216

Step 1: Find the prime factorization of 5539

5539 = 29 x 191

Step 2: Find the prime factorization of 5544

5544 = 2 x 2 x 2 x 3 x 3 x 7 x 11

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

LCM = 30708216 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 29 x 191

Step 4: Therefore, the least common multiple of 5539 and 5544 is 30708216.