Least Common Multiple of 5339 and 5345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5339 and 5345 the smallest integer that is 28536955 that is divisible by both numbers.

Least Common Multiple (LCM) of 5339 and 5345 is 28536955.

LCM(5339,5345) = 28536955

LCM of 5339 and 5345

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

LCM of:
and

Least Common Multiple of 5339 and 5345

LCM of 5339 and 5345 is 28536955

Least common multiple can be found by multiplying the highest exponent prime factors of 5339 and 5345. First we will calculate the prime factors of 5339 and 5345.

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

Prime Factorization of 5345


5 5345
1069 1069
1

Prime factors of 5345 are 5,1069. Prime factorization of 5345 in exponential form is:

5345 = 51×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 5339 and 5345.

LCM(5339,5345) = 51×191×2811×10691
LCM(5339,5345) = 28536955

Factors of 5339

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

1, 19, 281, 5339

Factors of 5345

List of positive integer factors of 5345 that divides 5345 without a remainder.

1, 5, 1069, 5345

Least Common Multiple of 5339 and 5345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5339 and 5345, than apply into the LCM equation.

GCF(5339,5345) = 1
LCM(5339,5345) = ( 5339 × 5345) / 1
LCM(5339,5345) = 28536955 / 1
LCM(5339,5345) = 28536955

Properties of LCM 5339 and 5345

(i) The LCM of 5345 and 5339 is associative

LCM of 5339 and 5345 = LCM of 5345 and 5339

Related Least Common Multiples of 5339

Related Least Common Multiples of 5345

Frequently Asked Questions on LCM of 5339 and 5345

1. What is the LCM of 5339 and 5345?

Answer: LCM of 5339 and 5345 is 28536955.

2. 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.

3. What are the Factors of 5345?

Answer: Factors of 5345 are 1, 5, 1069, 5345. There are 4 integers that are factors of 5345. The greatest factor of 5345 is 5345.

4. How to Find the LCM of 5339 and 5345?

Answer:

Least Common Multiple of 5339 and 5345 = 28536955

Step 1: Find the prime factorization of 5339

5339 = 19 x 281

Step 2: Find the prime factorization of 5345

5345 = 5 x 1069

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

LCM = 28536955 = 5 x 19 x 281 x 1069

Step 4: Therefore, the least common multiple of 5339 and 5345 is 28536955.