Least Common Multiple of 5488 and 5493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5488 and 5493 the smallest integer that is 30145584 that is divisible by both numbers.

Least Common Multiple (LCM) of 5488 and 5493 is 30145584.

LCM(5488,5493) = 30145584

LCM of 5488 and 5493

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

LCM of:
and

Least Common Multiple of 5488 and 5493

LCM of 5488 and 5493 is 30145584

Least common multiple can be found by multiplying the highest exponent prime factors of 5488 and 5493. First we will calculate the prime factors of 5488 and 5493.

Prime Factorization of 5488


2 5488
2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:

5488 = 24×73

Prime Factorization of 5493


3 5493
1831 1831
1

Prime factors of 5493 are 3,1831. Prime factorization of 5493 in exponential form is:

5493 = 31×18311

Now multiplying the highest exponent prime factors to calculate the LCM of 5488 and 5493.

LCM(5488,5493) = 24×31×73×18311
LCM(5488,5493) = 30145584

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488

Factors of 5493

List of positive integer factors of 5493 that divides 5493 without a remainder.

1, 3, 1831, 5493

Least Common Multiple of 5488 and 5493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5488 and 5493, than apply into the LCM equation.

GCF(5488,5493) = 1
LCM(5488,5493) = ( 5488 × 5493) / 1
LCM(5488,5493) = 30145584 / 1
LCM(5488,5493) = 30145584

Properties of LCM 5488 and 5493

(i) The LCM of 5493 and 5488 is associative

LCM of 5488 and 5493 = LCM of 5493 and 5488

Related Least Common Multiples of 5488

Related Least Common Multiples of 5493

Frequently Asked Questions on LCM of 5488 and 5493

1. What is the LCM of 5488 and 5493?

Answer: LCM of 5488 and 5493 is 30145584.

2. What are the Factors of 5488?

Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.

3. What are the Factors of 5493?

Answer: Factors of 5493 are 1, 3, 1831, 5493. There are 4 integers that are factors of 5493. The greatest factor of 5493 is 5493.

4. How to Find the LCM of 5488 and 5493?

Answer:

Least Common Multiple of 5488 and 5493 = 30145584

Step 1: Find the prime factorization of 5488

5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 5493

5493 = 3 x 1831

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

LCM = 30145584 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 7 x 1831

Step 4: Therefore, the least common multiple of 5488 and 5493 is 30145584.