Least Common Multiple of 5484 and 5490

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 5490 the smallest integer that is 5017860 that is divisible by both numbers.

Least Common Multiple (LCM) of 5484 and 5490 is 5017860.

LCM(5484,5490) = 5017860

LCM of 5484 and 5490

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

LCM of:
and

Least Common Multiple of 5484 and 5490

LCM of 5484 and 5490 is 5017860

Least common multiple can be found by multiplying the highest exponent prime factors of 5484 and 5490. First we will calculate the prime factors of 5484 and 5490.

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 5490


2 5490
3 2745
3 915
5 305
61 61
1

Prime factors of 5490 are 2, 3, 5,61. Prime factorization of 5490 in exponential form is:

5490 = 21×32×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5484 and 5490.

LCM(5484,5490) = 22×32×51×611×4571
LCM(5484,5490) = 5017860

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 5490

List of positive integer factors of 5490 that divides 5490 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490

Least Common Multiple of 5484 and 5490 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 5490, than apply into the LCM equation.

GCF(5484,5490) = 6
LCM(5484,5490) = ( 5484 × 5490) / 6
LCM(5484,5490) = 30107160 / 6
LCM(5484,5490) = 5017860

Properties of LCM 5484 and 5490

(i) The LCM of 5490 and 5484 is associative

LCM of 5484 and 5490 = LCM of 5490 and 5484

Related Least Common Multiples of 5484

Related Least Common Multiples of 5490

Frequently Asked Questions on LCM of 5484 and 5490

1. What is the LCM of 5484 and 5490?

Answer: LCM of 5484 and 5490 is 5017860.

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 5490?

Answer: Factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490. There are 24 integers that are factors of 5490. The greatest factor of 5490 is 5490.

4. How to Find the LCM of 5484 and 5490?

Answer:

Least Common Multiple of 5484 and 5490 = 5017860

Step 1: Find the prime factorization of 5484

5484 = 2 x 2 x 3 x 457

Step 2: Find the prime factorization of 5490

5490 = 2 x 3 x 3 x 5 x 61

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

LCM = 5017860 = 2 x 2 x 3 x 3 x 5 x 61 x 457

Step 4: Therefore, the least common multiple of 5484 and 5490 is 5017860.