Least Common Multiple of 5295 and 5300

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 5300 the smallest integer that is 5612700 that is divisible by both numbers.

Least Common Multiple (LCM) of 5295 and 5300 is 5612700.

LCM(5295,5300) = 5612700

LCM of 5295 and 5300

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

LCM of:
and

Least Common Multiple of 5295 and 5300

LCM of 5295 and 5300 is 5612700

Least common multiple can be found by multiplying the highest exponent prime factors of 5295 and 5300. First we will calculate the prime factors of 5295 and 5300.

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 5300


2 5300
2 2650
5 1325
5 265
53 53
1

Prime factors of 5300 are 2, 5,53. Prime factorization of 5300 in exponential form is:

5300 = 22×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5295 and 5300.

LCM(5295,5300) = 22×31×52×531×3531
LCM(5295,5300) = 5612700

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 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300

Least Common Multiple of 5295 and 5300 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 5300, than apply into the LCM equation.

GCF(5295,5300) = 5
LCM(5295,5300) = ( 5295 × 5300) / 5
LCM(5295,5300) = 28063500 / 5
LCM(5295,5300) = 5612700

Properties of LCM 5295 and 5300

(i) The LCM of 5300 and 5295 is associative

LCM of 5295 and 5300 = LCM of 5300 and 5295

Related Least Common Multiples of 5295

Related Least Common Multiples of 5300

Frequently Asked Questions on LCM of 5295 and 5300

1. What is the LCM of 5295 and 5300?

Answer: LCM of 5295 and 5300 is 5612700.

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 5300?

Answer: Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. There are 18 integers that are factors of 5300. The greatest factor of 5300 is 5300.

4. How to Find the LCM of 5295 and 5300?

Answer:

Least Common Multiple of 5295 and 5300 = 5612700

Step 1: Find the prime factorization of 5295

5295 = 3 x 5 x 353

Step 2: Find the prime factorization of 5300

5300 = 2 x 2 x 5 x 5 x 53

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

LCM = 5612700 = 2 x 2 x 3 x 5 x 5 x 53 x 353

Step 4: Therefore, the least common multiple of 5295 and 5300 is 5612700.