Least Common Multiple of 5476 and 5484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5476 and 5484 the smallest integer that is 7507596 that is divisible by both numbers.

Least Common Multiple (LCM) of 5476 and 5484 is 7507596.

LCM(5476,5484) = 7507596

LCM of 5476 and 5484

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

LCM of:
and

Least Common Multiple of 5476 and 5484

LCM of 5476 and 5484 is 7507596

Least common multiple can be found by multiplying the highest exponent prime factors of 5476 and 5484. First we will calculate the prime factors of 5476 and 5484.

Prime Factorization of 5476


2 5476
2 2738
37 1369
37 37
1

Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:

5476 = 22×372

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5476 and 5484.

LCM(5476,5484) = 22×31×372×4571
LCM(5476,5484) = 7507596

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1, 2, 4, 37, 74, 148, 1369, 2738, 5476

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

Least Common Multiple of 5476 and 5484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5476 and 5484, than apply into the LCM equation.

GCF(5476,5484) = 4
LCM(5476,5484) = ( 5476 × 5484) / 4
LCM(5476,5484) = 30030384 / 4
LCM(5476,5484) = 7507596

Properties of LCM 5476 and 5484

(i) The LCM of 5484 and 5476 is associative

LCM of 5476 and 5484 = LCM of 5484 and 5476

Related Least Common Multiples of 5476

Related Least Common Multiples of 5484

Frequently Asked Questions on LCM of 5476 and 5484

1. What is the LCM of 5476 and 5484?

Answer: LCM of 5476 and 5484 is 7507596.

2. What are the Factors of 5476?

Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.

3. 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.

4. How to Find the LCM of 5476 and 5484?

Answer:

Least Common Multiple of 5476 and 5484 = 7507596

Step 1: Find the prime factorization of 5476

5476 = 2 x 2 x 37 x 37

Step 2: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

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

LCM = 7507596 = 2 x 2 x 3 x 37 x 37 x 457

Step 4: Therefore, the least common multiple of 5476 and 5484 is 7507596.