Least Common Multiple of 5484 and 5492

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 5492 the smallest integer that is 7529532 that is divisible by both numbers.

Least Common Multiple (LCM) of 5484 and 5492 is 7529532.

LCM(5484,5492) = 7529532

LCM of 5484 and 5492

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

LCM of:
and

Least Common Multiple of 5484 and 5492

LCM of 5484 and 5492 is 7529532

Least common multiple can be found by multiplying the highest exponent prime factors of 5484 and 5492. First we will calculate the prime factors of 5484 and 5492.

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 5492


2 5492
2 2746
1373 1373
1

Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:

5492 = 22×13731

Now multiplying the highest exponent prime factors to calculate the LCM of 5484 and 5492.

LCM(5484,5492) = 22×31×4571×13731
LCM(5484,5492) = 7529532

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 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1, 2, 4, 1373, 2746, 5492

Least Common Multiple of 5484 and 5492 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 5492, than apply into the LCM equation.

GCF(5484,5492) = 4
LCM(5484,5492) = ( 5484 × 5492) / 4
LCM(5484,5492) = 30118128 / 4
LCM(5484,5492) = 7529532

Properties of LCM 5484 and 5492

(i) The LCM of 5492 and 5484 is associative

LCM of 5484 and 5492 = LCM of 5492 and 5484

Related Least Common Multiples of 5484

Related Least Common Multiples of 5492

Frequently Asked Questions on LCM of 5484 and 5492

1. What is the LCM of 5484 and 5492?

Answer: LCM of 5484 and 5492 is 7529532.

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 5492?

Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.

4. How to Find the LCM of 5484 and 5492?

Answer:

Least Common Multiple of 5484 and 5492 = 7529532

Step 1: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

Step 2: Find the prime factorization of 5492

5492 = 2 x 2 x 1373

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

LCM = 7529532 = 2 x 2 x 3 x 457 x 1373

Step 4: Therefore, the least common multiple of 5484 and 5492 is 7529532.