Least Common Multiple of 5484 and 5491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5484 and 5491 the smallest integer that is 30112644 that is divisible by both numbers.

Least Common Multiple (LCM) of 5484 and 5491 is 30112644.

LCM(5484,5491) = 30112644

LCM of 5484 and 5491

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

LCM of:
and

Least Common Multiple of 5484 and 5491

LCM of 5484 and 5491 is 30112644

Least common multiple can be found by multiplying the highest exponent prime factors of 5484 and 5491. First we will calculate the prime factors of 5484 and 5491.

Prime Factorization of 5484


2 5484
2 2742
3 1371
457 457
1

Prime factors of 5484 are 2, 3,457. Prime factorization of 5484 in exponential form is:

5484 = 22×31×4571

Prime Factorization of 5491


17 5491
17 323
19 19
1

Prime factors of 5491 are 17,19. Prime factorization of 5491 in exponential form is:

5491 = 172×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5484 and 5491.

LCM(5484,5491) = 22×31×172×191×4571
LCM(5484,5491) = 30112644

Factors of 5484

List of positive integer factors of 5484 that divides 5484 without a remainder.

1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484

Factors of 5491

List of positive integer factors of 5491 that divides 5491 without a remainder.

1, 17, 19, 289, 323, 5491

Least Common Multiple of 5484 and 5491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5484 and 5491, than apply into the LCM equation.

GCF(5484,5491) = 1
LCM(5484,5491) = ( 5484 × 5491) / 1
LCM(5484,5491) = 30112644 / 1
LCM(5484,5491) = 30112644

Properties of LCM 5484 and 5491

(i) The LCM of 5491 and 5484 is associative

LCM of 5484 and 5491 = LCM of 5491 and 5484

Related Least Common Multiples of 5484

Related Least Common Multiples of 5491

Frequently Asked Questions on LCM of 5484 and 5491

1. What is the LCM of 5484 and 5491?

Answer: LCM of 5484 and 5491 is 30112644.

2. What are the Factors of 5484?

Answer: Factors of 5484 are 1, 2, 3, 4, 6, 12, 457, 914, 1371, 1828, 2742, 5484. There are 12 integers that are factors of 5484. The greatest factor of 5484 is 5484.

3. What are the Factors of 5491?

Answer: Factors of 5491 are 1, 17, 19, 289, 323, 5491. There are 6 integers that are factors of 5491. The greatest factor of 5491 is 5491.

4. How to Find the LCM of 5484 and 5491?

Answer:

Least Common Multiple of 5484 and 5491 = 30112644

Step 1: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

Step 2: Find the prime factorization of 5491

5491 = 17 x 17 x 19

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

LCM = 30112644 = 2 x 2 x 3 x 17 x 17 x 19 x 457

Step 4: Therefore, the least common multiple of 5484 and 5491 is 30112644.