Least Common Multiple of 6289 and 6292

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 6292 the smallest integer that is 39570388 that is divisible by both numbers.

Least Common Multiple (LCM) of 6289 and 6292 is 39570388.

LCM(6289,6292) = 39570388

LCM of 6289 and 6292

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

LCM of:
and

Least Common Multiple of 6289 and 6292

LCM of 6289 and 6292 is 39570388

Least common multiple can be found by multiplying the highest exponent prime factors of 6289 and 6292. First we will calculate the prime factors of 6289 and 6292.

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 6292


2 6292
2 3146
11 1573
11 143
13 13
1

Prime factors of 6292 are 2, 11,13. Prime factorization of 6292 in exponential form is:

6292 = 22×112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 6289 and 6292.

LCM(6289,6292) = 22×112×131×191×3311
LCM(6289,6292) = 39570388

Factors of 6289

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

1, 19, 331, 6289

Factors of 6292

List of positive integer factors of 6292 that divides 6292 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292

Least Common Multiple of 6289 and 6292 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 6292, than apply into the LCM equation.

GCF(6289,6292) = 1
LCM(6289,6292) = ( 6289 × 6292) / 1
LCM(6289,6292) = 39570388 / 1
LCM(6289,6292) = 39570388

Properties of LCM 6289 and 6292

(i) The LCM of 6292 and 6289 is associative

LCM of 6289 and 6292 = LCM of 6292 and 6289

Related Least Common Multiples of 6289

Related Least Common Multiples of 6292

Frequently Asked Questions on LCM of 6289 and 6292

1. What is the LCM of 6289 and 6292?

Answer: LCM of 6289 and 6292 is 39570388.

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 6292?

Answer: Factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292. There are 18 integers that are factors of 6292. The greatest factor of 6292 is 6292.

4. How to Find the LCM of 6289 and 6292?

Answer:

Least Common Multiple of 6289 and 6292 = 39570388

Step 1: Find the prime factorization of 6289

6289 = 19 x 331

Step 2: Find the prime factorization of 6292

6292 = 2 x 2 x 11 x 11 x 13

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

LCM = 39570388 = 2 x 2 x 11 x 11 x 13 x 19 x 331

Step 4: Therefore, the least common multiple of 6289 and 6292 is 39570388.