Least Common Multiple of 5475 and 5483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5475 and 5483 the smallest integer that is 30019425 that is divisible by both numbers.

Least Common Multiple (LCM) of 5475 and 5483 is 30019425.

LCM(5475,5483) = 30019425

LCM of 5475 and 5483

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

LCM of:
and

Least Common Multiple of 5475 and 5483

LCM of 5475 and 5483 is 30019425

Least common multiple can be found by multiplying the highest exponent prime factors of 5475 and 5483. First we will calculate the prime factors of 5475 and 5483.

Prime Factorization of 5475


3 5475
5 1825
5 365
73 73
1

Prime factors of 5475 are 3, 5,73. Prime factorization of 5475 in exponential form is:

5475 = 31×52×731

Prime Factorization of 5483


5483 5483
1

Prime factors of 5483 are 5483. Prime factorization of 5483 in exponential form is:

5483 = 54831

Now multiplying the highest exponent prime factors to calculate the LCM of 5475 and 5483.

LCM(5475,5483) = 31×52×731×54831
LCM(5475,5483) = 30019425

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475

Factors of 5483

List of positive integer factors of 5483 that divides 5483 without a remainder.

1, 5483

Least Common Multiple of 5475 and 5483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5475 and 5483, than apply into the LCM equation.

GCF(5475,5483) = 1
LCM(5475,5483) = ( 5475 × 5483) / 1
LCM(5475,5483) = 30019425 / 1
LCM(5475,5483) = 30019425

Properties of LCM 5475 and 5483

(i) The LCM of 5483 and 5475 is associative

LCM of 5475 and 5483 = LCM of 5483 and 5475

Related Least Common Multiples of 5475

Related Least Common Multiples of 5483

Frequently Asked Questions on LCM of 5475 and 5483

1. What is the LCM of 5475 and 5483?

Answer: LCM of 5475 and 5483 is 30019425.

2. What are the Factors of 5475?

Answer: Factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. There are 12 integers that are factors of 5475. The greatest factor of 5475 is 5475.

3. What are the Factors of 5483?

Answer: Factors of 5483 are 1, 5483. There are 2 integers that are factors of 5483. The greatest factor of 5483 is 5483.

4. How to Find the LCM of 5475 and 5483?

Answer:

Least Common Multiple of 5475 and 5483 = 30019425

Step 1: Find the prime factorization of 5475

5475 = 3 x 5 x 5 x 73

Step 2: Find the prime factorization of 5483

5483 = 5483

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

LCM = 30019425 = 3 x 5 x 5 x 73 x 5483

Step 4: Therefore, the least common multiple of 5475 and 5483 is 30019425.