Least Common Multiple of 5325 and 5329

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 5329 the smallest integer that is 28376925 that is divisible by both numbers.

Least Common Multiple (LCM) of 5325 and 5329 is 28376925.

LCM(5325,5329) = 28376925

LCM of 5325 and 5329

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

LCM of:
and

Least Common Multiple of 5325 and 5329

LCM of 5325 and 5329 is 28376925

Least common multiple can be found by multiplying the highest exponent prime factors of 5325 and 5329. First we will calculate the prime factors of 5325 and 5329.

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 5329


73 5329
73 73
1

Prime factors of 5329 are 73. Prime factorization of 5329 in exponential form is:

5329 = 732

Now multiplying the highest exponent prime factors to calculate the LCM of 5325 and 5329.

LCM(5325,5329) = 31×52×711×732
LCM(5325,5329) = 28376925

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 5329

List of positive integer factors of 5329 that divides 5329 without a remainder.

1, 73, 5329

Least Common Multiple of 5325 and 5329 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 5329, than apply into the LCM equation.

GCF(5325,5329) = 1
LCM(5325,5329) = ( 5325 × 5329) / 1
LCM(5325,5329) = 28376925 / 1
LCM(5325,5329) = 28376925

Properties of LCM 5325 and 5329

(i) The LCM of 5329 and 5325 is associative

LCM of 5325 and 5329 = LCM of 5329 and 5325

Related Least Common Multiples of 5325

Related Least Common Multiples of 5329

Frequently Asked Questions on LCM of 5325 and 5329

1. What is the LCM of 5325 and 5329?

Answer: LCM of 5325 and 5329 is 28376925.

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 5329?

Answer: Factors of 5329 are 1, 73, 5329. There are 3 integers that are factors of 5329. The greatest factor of 5329 is 5329.

4. How to Find the LCM of 5325 and 5329?

Answer:

Least Common Multiple of 5325 and 5329 = 28376925

Step 1: Find the prime factorization of 5325

5325 = 3 x 5 x 5 x 71

Step 2: Find the prime factorization of 5329

5329 = 73 x 73

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

LCM = 28376925 = 3 x 5 x 5 x 71 x 73 x 73

Step 4: Therefore, the least common multiple of 5325 and 5329 is 28376925.