Least Common Multiple of 5287 and 5295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5287 and 5295 the smallest integer that is 27994665 that is divisible by both numbers.

Least Common Multiple (LCM) of 5287 and 5295 is 27994665.

LCM(5287,5295) = 27994665

LCM of 5287 and 5295

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

LCM of:
and

Least Common Multiple of 5287 and 5295

LCM of 5287 and 5295 is 27994665

Least common multiple can be found by multiplying the highest exponent prime factors of 5287 and 5295. First we will calculate the prime factors of 5287 and 5295.

Prime Factorization of 5287


17 5287
311 311
1

Prime factors of 5287 are 17,311. Prime factorization of 5287 in exponential form is:

5287 = 171×3111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5287 and 5295.

LCM(5287,5295) = 31×51×171×3111×3531
LCM(5287,5295) = 27994665

Factors of 5287

List of positive integer factors of 5287 that divides 5287 without a remainder.

1, 17, 311, 5287

Factors of 5295

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

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

Least Common Multiple of 5287 and 5295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5287 and 5295, than apply into the LCM equation.

GCF(5287,5295) = 1
LCM(5287,5295) = ( 5287 × 5295) / 1
LCM(5287,5295) = 27994665 / 1
LCM(5287,5295) = 27994665

Properties of LCM 5287 and 5295

(i) The LCM of 5295 and 5287 is associative

LCM of 5287 and 5295 = LCM of 5295 and 5287

Related Least Common Multiples of 5287

Related Least Common Multiples of 5295

Frequently Asked Questions on LCM of 5287 and 5295

1. What is the LCM of 5287 and 5295?

Answer: LCM of 5287 and 5295 is 27994665.

2. What are the Factors of 5287?

Answer: Factors of 5287 are 1, 17, 311, 5287. There are 4 integers that are factors of 5287. The greatest factor of 5287 is 5287.

3. 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.

4. How to Find the LCM of 5287 and 5295?

Answer:

Least Common Multiple of 5287 and 5295 = 27994665

Step 1: Find the prime factorization of 5287

5287 = 17 x 311

Step 2: Find the prime factorization of 5295

5295 = 3 x 5 x 353

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

LCM = 27994665 = 3 x 5 x 17 x 311 x 353

Step 4: Therefore, the least common multiple of 5287 and 5295 is 27994665.