Least Common Multiple of 5329 and 5335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5329 and 5335 the smallest integer that is 28430215 that is divisible by both numbers.

Least Common Multiple (LCM) of 5329 and 5335 is 28430215.

LCM(5329,5335) = 28430215

LCM of 5329 and 5335

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

LCM of:
and

Least Common Multiple of 5329 and 5335

LCM of 5329 and 5335 is 28430215

Least common multiple can be found by multiplying the highest exponent prime factors of 5329 and 5335. First we will calculate the prime factors of 5329 and 5335.

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

Prime Factorization of 5335


5 5335
11 1067
97 97
1

Prime factors of 5335 are 5, 11,97. Prime factorization of 5335 in exponential form is:

5335 = 51×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5329 and 5335.

LCM(5329,5335) = 51×111×732×971
LCM(5329,5335) = 28430215

Factors of 5329

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

1, 73, 5329

Factors of 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1, 5, 11, 55, 97, 485, 1067, 5335

Least Common Multiple of 5329 and 5335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5329 and 5335, than apply into the LCM equation.

GCF(5329,5335) = 1
LCM(5329,5335) = ( 5329 × 5335) / 1
LCM(5329,5335) = 28430215 / 1
LCM(5329,5335) = 28430215

Properties of LCM 5329 and 5335

(i) The LCM of 5335 and 5329 is associative

LCM of 5329 and 5335 = LCM of 5335 and 5329

Related Least Common Multiples of 5329

Related Least Common Multiples of 5335

Frequently Asked Questions on LCM of 5329 and 5335

1. What is the LCM of 5329 and 5335?

Answer: LCM of 5329 and 5335 is 28430215.

2. 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.

3. What are the Factors of 5335?

Answer: Factors of 5335 are 1, 5, 11, 55, 97, 485, 1067, 5335. There are 8 integers that are factors of 5335. The greatest factor of 5335 is 5335.

4. How to Find the LCM of 5329 and 5335?

Answer:

Least Common Multiple of 5329 and 5335 = 28430215

Step 1: Find the prime factorization of 5329

5329 = 73 x 73

Step 2: Find the prime factorization of 5335

5335 = 5 x 11 x 97

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

LCM = 28430215 = 5 x 11 x 73 x 73 x 97

Step 4: Therefore, the least common multiple of 5329 and 5335 is 28430215.