Least Common Multiple of 5532 and 5539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5532 and 5539 the smallest integer that is 30641748 that is divisible by both numbers.

Least Common Multiple (LCM) of 5532 and 5539 is 30641748.

LCM(5532,5539) = 30641748

LCM of 5532 and 5539

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

LCM of:
and

Least Common Multiple of 5532 and 5539

LCM of 5532 and 5539 is 30641748

Least common multiple can be found by multiplying the highest exponent prime factors of 5532 and 5539. First we will calculate the prime factors of 5532 and 5539.

Prime Factorization of 5532


2 5532
2 2766
3 1383
461 461
1

Prime factors of 5532 are 2, 3,461. Prime factorization of 5532 in exponential form is:

5532 = 22×31×4611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5532 and 5539.

LCM(5532,5539) = 22×31×291×1911×4611
LCM(5532,5539) = 30641748

Factors of 5532

List of positive integer factors of 5532 that divides 5532 without a remainder.

1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532

Factors of 5539

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

1, 29, 191, 5539

Least Common Multiple of 5532 and 5539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5532 and 5539, than apply into the LCM equation.

GCF(5532,5539) = 1
LCM(5532,5539) = ( 5532 × 5539) / 1
LCM(5532,5539) = 30641748 / 1
LCM(5532,5539) = 30641748

Properties of LCM 5532 and 5539

(i) The LCM of 5539 and 5532 is associative

LCM of 5532 and 5539 = LCM of 5539 and 5532

Related Least Common Multiples of 5532

Related Least Common Multiples of 5539

Frequently Asked Questions on LCM of 5532 and 5539

1. What is the LCM of 5532 and 5539?

Answer: LCM of 5532 and 5539 is 30641748.

2. What are the Factors of 5532?

Answer: Factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532. There are 12 integers that are factors of 5532. The greatest factor of 5532 is 5532.

3. 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.

4. How to Find the LCM of 5532 and 5539?

Answer:

Least Common Multiple of 5532 and 5539 = 30641748

Step 1: Find the prime factorization of 5532

5532 = 2 x 2 x 3 x 461

Step 2: Find the prime factorization of 5539

5539 = 29 x 191

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

LCM = 30641748 = 2 x 2 x 3 x 29 x 191 x 461

Step 4: Therefore, the least common multiple of 5532 and 5539 is 30641748.