Least Common Multiple of 5325 and 5333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5325 and 5333 the smallest integer that is 28398225 that is divisible by both numbers.

Least Common Multiple (LCM) of 5325 and 5333 is 28398225.

LCM(5325,5333) = 28398225

LCM of 5325 and 5333

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

LCM of:
and

Least Common Multiple of 5325 and 5333

LCM of 5325 and 5333 is 28398225

Least common multiple can be found by multiplying the highest exponent prime factors of 5325 and 5333. First we will calculate the prime factors of 5325 and 5333.

Prime Factorization of 5325


3 5325
5 1775
5 355
71 71
1

Prime factors of 5325 are 3, 5,71. Prime factorization of 5325 in exponential form is:

5325 = 31×52×711

Prime Factorization of 5333


5333 5333
1

Prime factors of 5333 are 5333. Prime factorization of 5333 in exponential form is:

5333 = 53331

Now multiplying the highest exponent prime factors to calculate the LCM of 5325 and 5333.

LCM(5325,5333) = 31×52×711×53331
LCM(5325,5333) = 28398225

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325

Factors of 5333

List of positive integer factors of 5333 that divides 5333 without a remainder.

1, 5333

Least Common Multiple of 5325 and 5333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5325 and 5333, than apply into the LCM equation.

GCF(5325,5333) = 1
LCM(5325,5333) = ( 5325 × 5333) / 1
LCM(5325,5333) = 28398225 / 1
LCM(5325,5333) = 28398225

Properties of LCM 5325 and 5333

(i) The LCM of 5333 and 5325 is associative

LCM of 5325 and 5333 = LCM of 5333 and 5325

Related Least Common Multiples of 5325

Related Least Common Multiples of 5333

Frequently Asked Questions on LCM of 5325 and 5333

1. What is the LCM of 5325 and 5333?

Answer: LCM of 5325 and 5333 is 28398225.

2. What are the Factors of 5325?

Answer: Factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325. There are 12 integers that are factors of 5325. The greatest factor of 5325 is 5325.

3. What are the Factors of 5333?

Answer: Factors of 5333 are 1, 5333. There are 2 integers that are factors of 5333. The greatest factor of 5333 is 5333.

4. How to Find the LCM of 5325 and 5333?

Answer:

Least Common Multiple of 5325 and 5333 = 28398225

Step 1: Find the prime factorization of 5325

5325 = 3 x 5 x 5 x 71

Step 2: Find the prime factorization of 5333

5333 = 5333

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

LCM = 28398225 = 3 x 5 x 5 x 71 x 5333

Step 4: Therefore, the least common multiple of 5325 and 5333 is 28398225.