Least Common Multiple of 6289 and 6290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6289 and 6290 the smallest integer that is 39557810 that is divisible by both numbers.

Least Common Multiple (LCM) of 6289 and 6290 is 39557810.

LCM(6289,6290) = 39557810

LCM of 6289 and 6290

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

LCM of:
and

Least Common Multiple of 6289 and 6290

LCM of 6289 and 6290 is 39557810

Least common multiple can be found by multiplying the highest exponent prime factors of 6289 and 6290. First we will calculate the prime factors of 6289 and 6290.

Prime Factorization of 6289


19 6289
331 331
1

Prime factors of 6289 are 19,331. Prime factorization of 6289 in exponential form is:

6289 = 191×3311

Prime Factorization of 6290


2 6290
5 3145
17 629
37 37
1

Prime factors of 6290 are 2, 5, 17,37. Prime factorization of 6290 in exponential form is:

6290 = 21×51×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6289 and 6290.

LCM(6289,6290) = 21×51×171×191×371×3311
LCM(6289,6290) = 39557810

Factors of 6289

List of positive integer factors of 6289 that divides 6289 without a remainder.

1, 19, 331, 6289

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290

Least Common Multiple of 6289 and 6290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6289 and 6290, than apply into the LCM equation.

GCF(6289,6290) = 1
LCM(6289,6290) = ( 6289 × 6290) / 1
LCM(6289,6290) = 39557810 / 1
LCM(6289,6290) = 39557810

Properties of LCM 6289 and 6290

(i) The LCM of 6290 and 6289 is associative

LCM of 6289 and 6290 = LCM of 6290 and 6289

Related Least Common Multiples of 6289

Related Least Common Multiples of 6290

Frequently Asked Questions on LCM of 6289 and 6290

1. What is the LCM of 6289 and 6290?

Answer: LCM of 6289 and 6290 is 39557810.

2. What are the Factors of 6289?

Answer: Factors of 6289 are 1, 19, 331, 6289. There are 4 integers that are factors of 6289. The greatest factor of 6289 is 6289.

3. What are the Factors of 6290?

Answer: Factors of 6290 are 1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145, 6290. There are 16 integers that are factors of 6290. The greatest factor of 6290 is 6290.

4. How to Find the LCM of 6289 and 6290?

Answer:

Least Common Multiple of 6289 and 6290 = 39557810

Step 1: Find the prime factorization of 6289

6289 = 19 x 331

Step 2: Find the prime factorization of 6290

6290 = 2 x 5 x 17 x 37

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

LCM = 39557810 = 2 x 5 x 17 x 19 x 37 x 331

Step 4: Therefore, the least common multiple of 6289 and 6290 is 39557810.