Least Common Multiple of 6292 and 6295

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 6295 the smallest integer that is 39608140 that is divisible by both numbers.

Least Common Multiple (LCM) of 6292 and 6295 is 39608140.

LCM(6292,6295) = 39608140

LCM of 6292 and 6295

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

LCM of:
and

Least Common Multiple of 6292 and 6295

LCM of 6292 and 6295 is 39608140

Least common multiple can be found by multiplying the highest exponent prime factors of 6292 and 6295. First we will calculate the prime factors of 6292 and 6295.

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 6295


5 6295
1259 1259
1

Prime factors of 6295 are 5,1259. Prime factorization of 6295 in exponential form is:

6295 = 51×12591

Now multiplying the highest exponent prime factors to calculate the LCM of 6292 and 6295.

LCM(6292,6295) = 22×51×112×131×12591
LCM(6292,6295) = 39608140

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 6295

List of positive integer factors of 6295 that divides 6295 without a remainder.

1, 5, 1259, 6295

Least Common Multiple of 6292 and 6295 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 6295, than apply into the LCM equation.

GCF(6292,6295) = 1
LCM(6292,6295) = ( 6292 × 6295) / 1
LCM(6292,6295) = 39608140 / 1
LCM(6292,6295) = 39608140

Properties of LCM 6292 and 6295

(i) The LCM of 6295 and 6292 is associative

LCM of 6292 and 6295 = LCM of 6295 and 6292

Related Least Common Multiples of 6292

Related Least Common Multiples of 6295

Frequently Asked Questions on LCM of 6292 and 6295

1. What is the LCM of 6292 and 6295?

Answer: LCM of 6292 and 6295 is 39608140.

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 6295?

Answer: Factors of 6295 are 1, 5, 1259, 6295. There are 4 integers that are factors of 6295. The greatest factor of 6295 is 6295.

4. How to Find the LCM of 6292 and 6295?

Answer:

Least Common Multiple of 6292 and 6295 = 39608140

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 6295

6295 = 5 x 1259

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

LCM = 39608140 = 2 x 2 x 5 x 11 x 11 x 13 x 1259

Step 4: Therefore, the least common multiple of 6292 and 6295 is 39608140.