Least Common Multiple of 5318 and 5325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5318 and 5325 the smallest integer that is 28318350 that is divisible by both numbers.

Least Common Multiple (LCM) of 5318 and 5325 is 28318350.

LCM(5318,5325) = 28318350

LCM of 5318 and 5325

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

LCM of:
and

Least Common Multiple of 5318 and 5325

LCM of 5318 and 5325 is 28318350

Least common multiple can be found by multiplying the highest exponent prime factors of 5318 and 5325. First we will calculate the prime factors of 5318 and 5325.

Prime Factorization of 5318


2 5318
2659 2659
1

Prime factors of 5318 are 2,2659. Prime factorization of 5318 in exponential form is:

5318 = 21×26591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5318 and 5325.

LCM(5318,5325) = 21×31×52×711×26591
LCM(5318,5325) = 28318350

Factors of 5318

List of positive integer factors of 5318 that divides 5318 without a remainder.

1, 2, 2659, 5318

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

Least Common Multiple of 5318 and 5325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5318 and 5325, than apply into the LCM equation.

GCF(5318,5325) = 1
LCM(5318,5325) = ( 5318 × 5325) / 1
LCM(5318,5325) = 28318350 / 1
LCM(5318,5325) = 28318350

Properties of LCM 5318 and 5325

(i) The LCM of 5325 and 5318 is associative

LCM of 5318 and 5325 = LCM of 5325 and 5318

Related Least Common Multiples of 5318

Related Least Common Multiples of 5325

Frequently Asked Questions on LCM of 5318 and 5325

1. What is the LCM of 5318 and 5325?

Answer: LCM of 5318 and 5325 is 28318350.

2. What are the Factors of 5318?

Answer: Factors of 5318 are 1, 2, 2659, 5318. There are 4 integers that are factors of 5318. The greatest factor of 5318 is 5318.

3. 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.

4. How to Find the LCM of 5318 and 5325?

Answer:

Least Common Multiple of 5318 and 5325 = 28318350

Step 1: Find the prime factorization of 5318

5318 = 2 x 2659

Step 2: Find the prime factorization of 5325

5325 = 3 x 5 x 5 x 71

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

LCM = 28318350 = 2 x 3 x 5 x 5 x 71 x 2659

Step 4: Therefore, the least common multiple of 5318 and 5325 is 28318350.