Least Common Multiple of 6265 and 6269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6265 and 6269 the smallest integer that is 39275285 that is divisible by both numbers.

Least Common Multiple (LCM) of 6265 and 6269 is 39275285.

LCM(6265,6269) = 39275285

LCM of 6265 and 6269

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

LCM of:
and

Least Common Multiple of 6265 and 6269

LCM of 6265 and 6269 is 39275285

Least common multiple can be found by multiplying the highest exponent prime factors of 6265 and 6269. First we will calculate the prime factors of 6265 and 6269.

Prime Factorization of 6265


5 6265
7 1253
179 179
1

Prime factors of 6265 are 5, 7,179. Prime factorization of 6265 in exponential form is:

6265 = 51×71×1791

Prime Factorization of 6269


6269 6269
1

Prime factors of 6269 are 6269. Prime factorization of 6269 in exponential form is:

6269 = 62691

Now multiplying the highest exponent prime factors to calculate the LCM of 6265 and 6269.

LCM(6265,6269) = 51×71×1791×62691
LCM(6265,6269) = 39275285

Factors of 6265

List of positive integer factors of 6265 that divides 6265 without a remainder.

1, 5, 7, 35, 179, 895, 1253, 6265

Factors of 6269

List of positive integer factors of 6269 that divides 6269 without a remainder.

1, 6269

Least Common Multiple of 6265 and 6269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6265 and 6269, than apply into the LCM equation.

GCF(6265,6269) = 1
LCM(6265,6269) = ( 6265 × 6269) / 1
LCM(6265,6269) = 39275285 / 1
LCM(6265,6269) = 39275285

Properties of LCM 6265 and 6269

(i) The LCM of 6269 and 6265 is associative

LCM of 6265 and 6269 = LCM of 6269 and 6265

Related Least Common Multiples of 6265

Related Least Common Multiples of 6269

Frequently Asked Questions on LCM of 6265 and 6269

1. What is the LCM of 6265 and 6269?

Answer: LCM of 6265 and 6269 is 39275285.

2. What are the Factors of 6265?

Answer: Factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265. There are 8 integers that are factors of 6265. The greatest factor of 6265 is 6265.

3. What are the Factors of 6269?

Answer: Factors of 6269 are 1, 6269. There are 2 integers that are factors of 6269. The greatest factor of 6269 is 6269.

4. How to Find the LCM of 6265 and 6269?

Answer:

Least Common Multiple of 6265 and 6269 = 39275285

Step 1: Find the prime factorization of 6265

6265 = 5 x 7 x 179

Step 2: Find the prime factorization of 6269

6269 = 6269

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

LCM = 39275285 = 5 x 7 x 179 x 6269

Step 4: Therefore, the least common multiple of 6265 and 6269 is 39275285.