Least Common Multiple of 5301 and 5309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5301 and 5309 the smallest integer that is 28143009 that is divisible by both numbers.

Least Common Multiple (LCM) of 5301 and 5309 is 28143009.

LCM(5301,5309) = 28143009

LCM of 5301 and 5309

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

LCM of:
and

Least Common Multiple of 5301 and 5309

LCM of 5301 and 5309 is 28143009

Least common multiple can be found by multiplying the highest exponent prime factors of 5301 and 5309. First we will calculate the prime factors of 5301 and 5309.

Prime Factorization of 5301


3 5301
3 1767
19 589
31 31
1

Prime factors of 5301 are 3, 19,31. Prime factorization of 5301 in exponential form is:

5301 = 32×191×311

Prime Factorization of 5309


5309 5309
1

Prime factors of 5309 are 5309. Prime factorization of 5309 in exponential form is:

5309 = 53091

Now multiplying the highest exponent prime factors to calculate the LCM of 5301 and 5309.

LCM(5301,5309) = 32×191×311×53091
LCM(5301,5309) = 28143009

Factors of 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301

Factors of 5309

List of positive integer factors of 5309 that divides 5309 without a remainder.

1, 5309

Least Common Multiple of 5301 and 5309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5301 and 5309, than apply into the LCM equation.

GCF(5301,5309) = 1
LCM(5301,5309) = ( 5301 × 5309) / 1
LCM(5301,5309) = 28143009 / 1
LCM(5301,5309) = 28143009

Properties of LCM 5301 and 5309

(i) The LCM of 5309 and 5301 is associative

LCM of 5301 and 5309 = LCM of 5309 and 5301

Related Least Common Multiples of 5301

Related Least Common Multiples of 5309

Frequently Asked Questions on LCM of 5301 and 5309

1. What is the LCM of 5301 and 5309?

Answer: LCM of 5301 and 5309 is 28143009.

2. What are the Factors of 5301?

Answer: Factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301. There are 12 integers that are factors of 5301. The greatest factor of 5301 is 5301.

3. What are the Factors of 5309?

Answer: Factors of 5309 are 1, 5309. There are 2 integers that are factors of 5309. The greatest factor of 5309 is 5309.

4. How to Find the LCM of 5301 and 5309?

Answer:

Least Common Multiple of 5301 and 5309 = 28143009

Step 1: Find the prime factorization of 5301

5301 = 3 x 3 x 19 x 31

Step 2: Find the prime factorization of 5309

5309 = 5309

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

LCM = 28143009 = 3 x 3 x 19 x 31 x 5309

Step 4: Therefore, the least common multiple of 5301 and 5309 is 28143009.