Least Common Multiple of 5484 and 5489

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 5489 the smallest integer that is 30101676 that is divisible by both numbers.

Least Common Multiple (LCM) of 5484 and 5489 is 30101676.

LCM(5484,5489) = 30101676

LCM of 5484 and 5489

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

LCM of:
and

Least Common Multiple of 5484 and 5489

LCM of 5484 and 5489 is 30101676

Least common multiple can be found by multiplying the highest exponent prime factors of 5484 and 5489. First we will calculate the prime factors of 5484 and 5489.

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 5489


11 5489
499 499
1

Prime factors of 5489 are 11,499. Prime factorization of 5489 in exponential form is:

5489 = 111×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 5484 and 5489.

LCM(5484,5489) = 22×31×111×4571×4991
LCM(5484,5489) = 30101676

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 5489

List of positive integer factors of 5489 that divides 5489 without a remainder.

1, 11, 499, 5489

Least Common Multiple of 5484 and 5489 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 5489, than apply into the LCM equation.

GCF(5484,5489) = 1
LCM(5484,5489) = ( 5484 × 5489) / 1
LCM(5484,5489) = 30101676 / 1
LCM(5484,5489) = 30101676

Properties of LCM 5484 and 5489

(i) The LCM of 5489 and 5484 is associative

LCM of 5484 and 5489 = LCM of 5489 and 5484

Related Least Common Multiples of 5484

Related Least Common Multiples of 5489

Frequently Asked Questions on LCM of 5484 and 5489

1. What is the LCM of 5484 and 5489?

Answer: LCM of 5484 and 5489 is 30101676.

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 5489?

Answer: Factors of 5489 are 1, 11, 499, 5489. There are 4 integers that are factors of 5489. The greatest factor of 5489 is 5489.

4. How to Find the LCM of 5484 and 5489?

Answer:

Least Common Multiple of 5484 and 5489 = 30101676

Step 1: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

Step 2: Find the prime factorization of 5489

5489 = 11 x 499

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

LCM = 30101676 = 2 x 2 x 3 x 11 x 457 x 499

Step 4: Therefore, the least common multiple of 5484 and 5489 is 30101676.