Least Common Multiple of 5331 and 5339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5331 and 5339 the smallest integer that is 28462209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5331 and 5339 is 28462209.

LCM(5331,5339) = 28462209

LCM of 5331 and 5339

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

LCM of:
and

Least Common Multiple of 5331 and 5339

LCM of 5331 and 5339 is 28462209

Least common multiple can be found by multiplying the highest exponent prime factors of 5331 and 5339. First we will calculate the prime factors of 5331 and 5339.

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

Prime Factorization of 5339


19 5339
281 281
1

Prime factors of 5339 are 19,281. Prime factorization of 5339 in exponential form is:

5339 = 191×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 5331 and 5339.

LCM(5331,5339) = 31×191×2811×17771
LCM(5331,5339) = 28462209

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1, 3, 1777, 5331

Factors of 5339

List of positive integer factors of 5339 that divides 5339 without a remainder.

1, 19, 281, 5339

Least Common Multiple of 5331 and 5339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5331 and 5339, than apply into the LCM equation.

GCF(5331,5339) = 1
LCM(5331,5339) = ( 5331 × 5339) / 1
LCM(5331,5339) = 28462209 / 1
LCM(5331,5339) = 28462209

Properties of LCM 5331 and 5339

(i) The LCM of 5339 and 5331 is associative

LCM of 5331 and 5339 = LCM of 5339 and 5331

Related Least Common Multiples of 5331

Related Least Common Multiples of 5339

Frequently Asked Questions on LCM of 5331 and 5339

1. What is the LCM of 5331 and 5339?

Answer: LCM of 5331 and 5339 is 28462209.

2. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

3. What are the Factors of 5339?

Answer: Factors of 5339 are 1, 19, 281, 5339. There are 4 integers that are factors of 5339. The greatest factor of 5339 is 5339.

4. How to Find the LCM of 5331 and 5339?

Answer:

Least Common Multiple of 5331 and 5339 = 28462209

Step 1: Find the prime factorization of 5331

5331 = 3 x 1777

Step 2: Find the prime factorization of 5339

5339 = 19 x 281

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

LCM = 28462209 = 3 x 19 x 281 x 1777

Step 4: Therefore, the least common multiple of 5331 and 5339 is 28462209.