Least Common Multiple of 5290 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 5290 and 5295 the smallest integer that is 5602110 that is divisible by both numbers.

Least Common Multiple (LCM) of 5290 and 5295 is 5602110.

LCM(5290,5295) = 5602110

LCM of 5290 and 5295

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

LCM of:
and

Least Common Multiple of 5290 and 5295

LCM of 5290 and 5295 is 5602110

Least common multiple can be found by multiplying the highest exponent prime factors of 5290 and 5295. First we will calculate the prime factors of 5290 and 5295.

Prime Factorization of 5290


2 5290
5 2645
23 529
23 23
1

Prime factors of 5290 are 2, 5,23. Prime factorization of 5290 in exponential form is:

5290 = 21×51×232

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 5290 and 5295.

LCM(5290,5295) = 21×31×51×232×3531
LCM(5290,5295) = 5602110

Factors of 5290

List of positive integer factors of 5290 that divides 5290 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290

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 5290 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 5290 and 5295, than apply into the LCM equation.

GCF(5290,5295) = 5
LCM(5290,5295) = ( 5290 × 5295) / 5
LCM(5290,5295) = 28010550 / 5
LCM(5290,5295) = 5602110

Properties of LCM 5290 and 5295

(i) The LCM of 5295 and 5290 is associative

LCM of 5290 and 5295 = LCM of 5295 and 5290

Related Least Common Multiples of 5290

Related Least Common Multiples of 5295

Frequently Asked Questions on LCM of 5290 and 5295

1. What is the LCM of 5290 and 5295?

Answer: LCM of 5290 and 5295 is 5602110.

2. What are the Factors of 5290?

Answer: Factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290. There are 12 integers that are factors of 5290. The greatest factor of 5290 is 5290.

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 5290 and 5295?

Answer:

Least Common Multiple of 5290 and 5295 = 5602110

Step 1: Find the prime factorization of 5290

5290 = 2 x 5 x 23 x 23

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 = 5602110 = 2 x 3 x 5 x 23 x 23 x 353

Step 4: Therefore, the least common multiple of 5290 and 5295 is 5602110.