Least Common Multiple of 5524 and 5532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5524 and 5532 the smallest integer that is 7639692 that is divisible by both numbers.

Least Common Multiple (LCM) of 5524 and 5532 is 7639692.

LCM(5524,5532) = 7639692

LCM of 5524 and 5532

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

LCM of:
and

Least Common Multiple of 5524 and 5532

LCM of 5524 and 5532 is 7639692

Least common multiple can be found by multiplying the highest exponent prime factors of 5524 and 5532. First we will calculate the prime factors of 5524 and 5532.

Prime Factorization of 5524


2 5524
2 2762
1381 1381
1

Prime factors of 5524 are 2,1381. Prime factorization of 5524 in exponential form is:

5524 = 22×13811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5524 and 5532.

LCM(5524,5532) = 22×31×4611×13811
LCM(5524,5532) = 7639692

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1, 2, 4, 1381, 2762, 5524

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

Least Common Multiple of 5524 and 5532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5524 and 5532, than apply into the LCM equation.

GCF(5524,5532) = 4
LCM(5524,5532) = ( 5524 × 5532) / 4
LCM(5524,5532) = 30558768 / 4
LCM(5524,5532) = 7639692

Properties of LCM 5524 and 5532

(i) The LCM of 5532 and 5524 is associative

LCM of 5524 and 5532 = LCM of 5532 and 5524

Related Least Common Multiples of 5524

Related Least Common Multiples of 5532

Frequently Asked Questions on LCM of 5524 and 5532

1. What is the LCM of 5524 and 5532?

Answer: LCM of 5524 and 5532 is 7639692.

2. What are the Factors of 5524?

Answer: Factors of 5524 are 1, 2, 4, 1381, 2762, 5524. There are 6 integers that are factors of 5524. The greatest factor of 5524 is 5524.

3. 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.

4. How to Find the LCM of 5524 and 5532?

Answer:

Least Common Multiple of 5524 and 5532 = 7639692

Step 1: Find the prime factorization of 5524

5524 = 2 x 2 x 1381

Step 2: Find the prime factorization of 5532

5532 = 2 x 2 x 3 x 461

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

LCM = 7639692 = 2 x 2 x 3 x 461 x 1381

Step 4: Therefore, the least common multiple of 5524 and 5532 is 7639692.