Least Common Multiple of 5478 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 5478 and 5484 the smallest integer that is 5006892 that is divisible by both numbers.

Least Common Multiple (LCM) of 5478 and 5484 is 5006892.

LCM(5478,5484) = 5006892

LCM of 5478 and 5484

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

LCM of:
and

Least Common Multiple of 5478 and 5484

LCM of 5478 and 5484 is 5006892

Least common multiple can be found by multiplying the highest exponent prime factors of 5478 and 5484. First we will calculate the prime factors of 5478 and 5484.

Prime Factorization of 5478


2 5478
3 2739
11 913
83 83
1

Prime factors of 5478 are 2, 3, 11,83. Prime factorization of 5478 in exponential form is:

5478 = 21×31×111×831

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 5478 and 5484.

LCM(5478,5484) = 22×31×111×831×4571
LCM(5478,5484) = 5006892

Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478

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 5478 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 5478 and 5484, than apply into the LCM equation.

GCF(5478,5484) = 6
LCM(5478,5484) = ( 5478 × 5484) / 6
LCM(5478,5484) = 30041352 / 6
LCM(5478,5484) = 5006892

Properties of LCM 5478 and 5484

(i) The LCM of 5484 and 5478 is associative

LCM of 5478 and 5484 = LCM of 5484 and 5478

Related Least Common Multiples of 5478

Related Least Common Multiples of 5484

Frequently Asked Questions on LCM of 5478 and 5484

1. What is the LCM of 5478 and 5484?

Answer: LCM of 5478 and 5484 is 5006892.

2. What are the Factors of 5478?

Answer: Factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478. There are 16 integers that are factors of 5478. The greatest factor of 5478 is 5478.

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 5478 and 5484?

Answer:

Least Common Multiple of 5478 and 5484 = 5006892

Step 1: Find the prime factorization of 5478

5478 = 2 x 3 x 11 x 83

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 = 5006892 = 2 x 2 x 3 x 11 x 83 x 457

Step 4: Therefore, the least common multiple of 5478 and 5484 is 5006892.