Least Common Multiple of 6292 and 6299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6292 and 6299 the smallest integer that is 39633308 that is divisible by both numbers.

Least Common Multiple (LCM) of 6292 and 6299 is 39633308.

LCM(6292,6299) = 39633308

LCM of 6292 and 6299

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

LCM of:
and

Least Common Multiple of 6292 and 6299

LCM of 6292 and 6299 is 39633308

Least common multiple can be found by multiplying the highest exponent prime factors of 6292 and 6299. First we will calculate the prime factors of 6292 and 6299.

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

Prime Factorization of 6299


6299 6299
1

Prime factors of 6299 are 6299. Prime factorization of 6299 in exponential form is:

6299 = 62991

Now multiplying the highest exponent prime factors to calculate the LCM of 6292 and 6299.

LCM(6292,6299) = 22×112×131×62991
LCM(6292,6299) = 39633308

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

Factors of 6299

List of positive integer factors of 6299 that divides 6299 without a remainder.

1, 6299

Least Common Multiple of 6292 and 6299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6292 and 6299, than apply into the LCM equation.

GCF(6292,6299) = 1
LCM(6292,6299) = ( 6292 × 6299) / 1
LCM(6292,6299) = 39633308 / 1
LCM(6292,6299) = 39633308

Properties of LCM 6292 and 6299

(i) The LCM of 6299 and 6292 is associative

LCM of 6292 and 6299 = LCM of 6299 and 6292

Related Least Common Multiples of 6292

Related Least Common Multiples of 6299

Frequently Asked Questions on LCM of 6292 and 6299

1. What is the LCM of 6292 and 6299?

Answer: LCM of 6292 and 6299 is 39633308.

2. 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.

3. What are the Factors of 6299?

Answer: Factors of 6299 are 1, 6299. There are 2 integers that are factors of 6299. The greatest factor of 6299 is 6299.

4. How to Find the LCM of 6292 and 6299?

Answer:

Least Common Multiple of 6292 and 6299 = 39633308

Step 1: Find the prime factorization of 6292

6292 = 2 x 2 x 11 x 11 x 13

Step 2: Find the prime factorization of 6299

6299 = 6299

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

LCM = 39633308 = 2 x 2 x 11 x 11 x 13 x 6299

Step 4: Therefore, the least common multiple of 6292 and 6299 is 39633308.