Least Common Multiple of 5295 and 5301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5295 and 5301 the smallest integer that is 9356265 that is divisible by both numbers.

Least Common Multiple (LCM) of 5295 and 5301 is 9356265.

LCM(5295,5301) = 9356265

LCM of 5295 and 5301

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

LCM of:
and

Least Common Multiple of 5295 and 5301

LCM of 5295 and 5301 is 9356265

Least common multiple can be found by multiplying the highest exponent prime factors of 5295 and 5301. First we will calculate the prime factors of 5295 and 5301.

Prime Factorization of 5295


3 5295
5 1765
353 353
1

Prime factors of 5295 are 3, 5,353. Prime factorization of 5295 in exponential form is:

5295 = 31×51×3531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5295 and 5301.

LCM(5295,5301) = 32×51×191×311×3531
LCM(5295,5301) = 9356265

Factors of 5295

List of positive integer factors of 5295 that divides 5295 without a remainder.

1, 3, 5, 15, 353, 1059, 1765, 5295

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

Least Common Multiple of 5295 and 5301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5295 and 5301, than apply into the LCM equation.

GCF(5295,5301) = 3
LCM(5295,5301) = ( 5295 × 5301) / 3
LCM(5295,5301) = 28068795 / 3
LCM(5295,5301) = 9356265

Properties of LCM 5295 and 5301

(i) The LCM of 5301 and 5295 is associative

LCM of 5295 and 5301 = LCM of 5301 and 5295

Related Least Common Multiples of 5295

Related Least Common Multiples of 5301

Frequently Asked Questions on LCM of 5295 and 5301

1. What is the LCM of 5295 and 5301?

Answer: LCM of 5295 and 5301 is 9356265.

2. What are the Factors of 5295?

Answer: Factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295. There are 8 integers that are factors of 5295. The greatest factor of 5295 is 5295.

3. 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.

4. How to Find the LCM of 5295 and 5301?

Answer:

Least Common Multiple of 5295 and 5301 = 9356265

Step 1: Find the prime factorization of 5295

5295 = 3 x 5 x 353

Step 2: Find the prime factorization of 5301

5301 = 3 x 3 x 19 x 31

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

LCM = 9356265 = 3 x 3 x 5 x 19 x 31 x 353

Step 4: Therefore, the least common multiple of 5295 and 5301 is 9356265.