Least Common Multiple of 5295 and 5302

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 5302 the smallest integer that is 28074090 that is divisible by both numbers.

Least Common Multiple (LCM) of 5295 and 5302 is 28074090.

LCM(5295,5302) = 28074090

LCM of 5295 and 5302

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

LCM of:
and

Least Common Multiple of 5295 and 5302

LCM of 5295 and 5302 is 28074090

Least common multiple can be found by multiplying the highest exponent prime factors of 5295 and 5302. First we will calculate the prime factors of 5295 and 5302.

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 5302


2 5302
11 2651
241 241
1

Prime factors of 5302 are 2, 11,241. Prime factorization of 5302 in exponential form is:

5302 = 21×111×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 5295 and 5302.

LCM(5295,5302) = 21×31×51×111×2411×3531
LCM(5295,5302) = 28074090

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 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1, 2, 11, 22, 241, 482, 2651, 5302

Least Common Multiple of 5295 and 5302 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 5302, than apply into the LCM equation.

GCF(5295,5302) = 1
LCM(5295,5302) = ( 5295 × 5302) / 1
LCM(5295,5302) = 28074090 / 1
LCM(5295,5302) = 28074090

Properties of LCM 5295 and 5302

(i) The LCM of 5302 and 5295 is associative

LCM of 5295 and 5302 = LCM of 5302 and 5295

Related Least Common Multiples of 5295

Related Least Common Multiples of 5302

Frequently Asked Questions on LCM of 5295 and 5302

1. What is the LCM of 5295 and 5302?

Answer: LCM of 5295 and 5302 is 28074090.

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 5302?

Answer: Factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302. There are 8 integers that are factors of 5302. The greatest factor of 5302 is 5302.

4. How to Find the LCM of 5295 and 5302?

Answer:

Least Common Multiple of 5295 and 5302 = 28074090

Step 1: Find the prime factorization of 5295

5295 = 3 x 5 x 353

Step 2: Find the prime factorization of 5302

5302 = 2 x 11 x 241

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

LCM = 28074090 = 2 x 3 x 5 x 11 x 241 x 353

Step 4: Therefore, the least common multiple of 5295 and 5302 is 28074090.