Least Common Multiple of 5584 and 5592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5584 and 5592 the smallest integer that is 3903216 that is divisible by both numbers.

Least Common Multiple (LCM) of 5584 and 5592 is 3903216.

LCM(5584,5592) = 3903216

LCM of 5584 and 5592

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

LCM of:
and

Least Common Multiple of 5584 and 5592

LCM of 5584 and 5592 is 3903216

Least common multiple can be found by multiplying the highest exponent prime factors of 5584 and 5592. First we will calculate the prime factors of 5584 and 5592.

Prime Factorization of 5584


2 5584
2 2792
2 1396
2 698
349 349
1

Prime factors of 5584 are 2,349. Prime factorization of 5584 in exponential form is:

5584 = 24×3491

Prime Factorization of 5592


2 5592
2 2796
2 1398
3 699
233 233
1

Prime factors of 5592 are 2, 3,233. Prime factorization of 5592 in exponential form is:

5592 = 23×31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 5584 and 5592.

LCM(5584,5592) = 24×31×2331×3491
LCM(5584,5592) = 3903216

Factors of 5584

List of positive integer factors of 5584 that divides 5584 without a remainder.

1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584

Factors of 5592

List of positive integer factors of 5592 that divides 5592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592

Least Common Multiple of 5584 and 5592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5584 and 5592, than apply into the LCM equation.

GCF(5584,5592) = 8
LCM(5584,5592) = ( 5584 × 5592) / 8
LCM(5584,5592) = 31225728 / 8
LCM(5584,5592) = 3903216

Properties of LCM 5584 and 5592

(i) The LCM of 5592 and 5584 is associative

LCM of 5584 and 5592 = LCM of 5592 and 5584

Related Least Common Multiples of 5584

Related Least Common Multiples of 5592

Frequently Asked Questions on LCM of 5584 and 5592

1. What is the LCM of 5584 and 5592?

Answer: LCM of 5584 and 5592 is 3903216.

2. What are the Factors of 5584?

Answer: Factors of 5584 are 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584. There are 10 integers that are factors of 5584. The greatest factor of 5584 is 5584.

3. What are the Factors of 5592?

Answer: Factors of 5592 are 1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592. There are 16 integers that are factors of 5592. The greatest factor of 5592 is 5592.

4. How to Find the LCM of 5584 and 5592?

Answer:

Least Common Multiple of 5584 and 5592 = 3903216

Step 1: Find the prime factorization of 5584

5584 = 2 x 2 x 2 x 2 x 349

Step 2: Find the prime factorization of 5592

5592 = 2 x 2 x 2 x 3 x 233

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

LCM = 3903216 = 2 x 2 x 2 x 2 x 3 x 233 x 349

Step 4: Therefore, the least common multiple of 5584 and 5592 is 3903216.