Least Common Multiple of 6285 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 6285 and 6292 the smallest integer that is 39545220 that is divisible by both numbers.

Least Common Multiple (LCM) of 6285 and 6292 is 39545220.

LCM(6285,6292) = 39545220

LCM of 6285 and 6292

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

LCM of:
and

Least Common Multiple of 6285 and 6292

LCM of 6285 and 6292 is 39545220

Least common multiple can be found by multiplying the highest exponent prime factors of 6285 and 6292. First we will calculate the prime factors of 6285 and 6292.

Prime Factorization of 6285


3 6285
5 2095
419 419
1

Prime factors of 6285 are 3, 5,419. Prime factorization of 6285 in exponential form is:

6285 = 31×51×4191

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 6285 and 6292.

LCM(6285,6292) = 22×31×51×112×131×4191
LCM(6285,6292) = 39545220

Factors of 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1, 3, 5, 15, 419, 1257, 2095, 6285

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 6285 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 6285 and 6292, than apply into the LCM equation.

GCF(6285,6292) = 1
LCM(6285,6292) = ( 6285 × 6292) / 1
LCM(6285,6292) = 39545220 / 1
LCM(6285,6292) = 39545220

Properties of LCM 6285 and 6292

(i) The LCM of 6292 and 6285 is associative

LCM of 6285 and 6292 = LCM of 6292 and 6285

Related Least Common Multiples of 6285

Related Least Common Multiples of 6292

Frequently Asked Questions on LCM of 6285 and 6292

1. What is the LCM of 6285 and 6292?

Answer: LCM of 6285 and 6292 is 39545220.

2. What are the Factors of 6285?

Answer: Factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285. There are 8 integers that are factors of 6285. The greatest factor of 6285 is 6285.

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 6285 and 6292?

Answer:

Least Common Multiple of 6285 and 6292 = 39545220

Step 1: Find the prime factorization of 6285

6285 = 3 x 5 x 419

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 = 39545220 = 2 x 2 x 3 x 5 x 11 x 11 x 13 x 419

Step 4: Therefore, the least common multiple of 6285 and 6292 is 39545220.