Least Common Multiple of 5490 and 5496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5490 and 5496 the smallest integer that is 5028840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5490 and 5496 is 5028840.

LCM(5490,5496) = 5028840

LCM of 5490 and 5496

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

LCM of:
and

Least Common Multiple of 5490 and 5496

LCM of 5490 and 5496 is 5028840

Least common multiple can be found by multiplying the highest exponent prime factors of 5490 and 5496. First we will calculate the prime factors of 5490 and 5496.

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

Prime Factorization of 5496


2 5496
2 2748
2 1374
3 687
229 229
1

Prime factors of 5496 are 2, 3,229. Prime factorization of 5496 in exponential form is:

5496 = 23×31×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5490 and 5496.

LCM(5490,5496) = 23×32×51×611×2291
LCM(5490,5496) = 5028840

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

Factors of 5496

List of positive integer factors of 5496 that divides 5496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496

Least Common Multiple of 5490 and 5496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5490 and 5496, than apply into the LCM equation.

GCF(5490,5496) = 6
LCM(5490,5496) = ( 5490 × 5496) / 6
LCM(5490,5496) = 30173040 / 6
LCM(5490,5496) = 5028840

Properties of LCM 5490 and 5496

(i) The LCM of 5496 and 5490 is associative

LCM of 5490 and 5496 = LCM of 5496 and 5490

Related Least Common Multiples of 5490

Related Least Common Multiples of 5496

Frequently Asked Questions on LCM of 5490 and 5496

1. What is the LCM of 5490 and 5496?

Answer: LCM of 5490 and 5496 is 5028840.

2. 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.

3. What are the Factors of 5496?

Answer: Factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496. There are 16 integers that are factors of 5496. The greatest factor of 5496 is 5496.

4. How to Find the LCM of 5490 and 5496?

Answer:

Least Common Multiple of 5490 and 5496 = 5028840

Step 1: Find the prime factorization of 5490

5490 = 2 x 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 5496

5496 = 2 x 2 x 2 x 3 x 229

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

LCM = 5028840 = 2 x 2 x 2 x 3 x 3 x 5 x 61 x 229

Step 4: Therefore, the least common multiple of 5490 and 5496 is 5028840.