Least Common Multiple of 5301 and 5307

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 5307 the smallest integer that is 9377469 that is divisible by both numbers.

Least Common Multiple (LCM) of 5301 and 5307 is 9377469.

LCM(5301,5307) = 9377469

LCM of 5301 and 5307

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

LCM of:
and

Least Common Multiple of 5301 and 5307

LCM of 5301 and 5307 is 9377469

Least common multiple can be found by multiplying the highest exponent prime factors of 5301 and 5307. First we will calculate the prime factors of 5301 and 5307.

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 5307


3 5307
29 1769
61 61
1

Prime factors of 5307 are 3, 29,61. Prime factorization of 5307 in exponential form is:

5307 = 31×291×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5301 and 5307.

LCM(5301,5307) = 32×191×291×311×611
LCM(5301,5307) = 9377469

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 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1, 3, 29, 61, 87, 183, 1769, 5307

Least Common Multiple of 5301 and 5307 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 5307, than apply into the LCM equation.

GCF(5301,5307) = 3
LCM(5301,5307) = ( 5301 × 5307) / 3
LCM(5301,5307) = 28132407 / 3
LCM(5301,5307) = 9377469

Properties of LCM 5301 and 5307

(i) The LCM of 5307 and 5301 is associative

LCM of 5301 and 5307 = LCM of 5307 and 5301

Related Least Common Multiples of 5301

Related Least Common Multiples of 5307

Frequently Asked Questions on LCM of 5301 and 5307

1. What is the LCM of 5301 and 5307?

Answer: LCM of 5301 and 5307 is 9377469.

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 5307?

Answer: Factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307. There are 8 integers that are factors of 5307. The greatest factor of 5307 is 5307.

4. How to Find the LCM of 5301 and 5307?

Answer:

Least Common Multiple of 5301 and 5307 = 9377469

Step 1: Find the prime factorization of 5301

5301 = 3 x 3 x 19 x 31

Step 2: Find the prime factorization of 5307

5307 = 3 x 29 x 61

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

LCM = 9377469 = 3 x 3 x 19 x 29 x 31 x 61

Step 4: Therefore, the least common multiple of 5301 and 5307 is 9377469.