Least Common Multiple of 6265 and 6271

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 6271 the smallest integer that is 39287815 that is divisible by both numbers.

Least Common Multiple (LCM) of 6265 and 6271 is 39287815.

LCM(6265,6271) = 39287815

LCM of 6265 and 6271

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

LCM of:
and

Least Common Multiple of 6265 and 6271

LCM of 6265 and 6271 is 39287815

Least common multiple can be found by multiplying the highest exponent prime factors of 6265 and 6271. First we will calculate the prime factors of 6265 and 6271.

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 6271


6271 6271
1

Prime factors of 6271 are 6271. Prime factorization of 6271 in exponential form is:

6271 = 62711

Now multiplying the highest exponent prime factors to calculate the LCM of 6265 and 6271.

LCM(6265,6271) = 51×71×1791×62711
LCM(6265,6271) = 39287815

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 6271

List of positive integer factors of 6271 that divides 6271 without a remainder.

1, 6271

Least Common Multiple of 6265 and 6271 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 6271, than apply into the LCM equation.

GCF(6265,6271) = 1
LCM(6265,6271) = ( 6265 × 6271) / 1
LCM(6265,6271) = 39287815 / 1
LCM(6265,6271) = 39287815

Properties of LCM 6265 and 6271

(i) The LCM of 6271 and 6265 is associative

LCM of 6265 and 6271 = LCM of 6271 and 6265

Related Least Common Multiples of 6265

Related Least Common Multiples of 6271

Frequently Asked Questions on LCM of 6265 and 6271

1. What is the LCM of 6265 and 6271?

Answer: LCM of 6265 and 6271 is 39287815.

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 6271?

Answer: Factors of 6271 are 1, 6271. There are 2 integers that are factors of 6271. The greatest factor of 6271 is 6271.

4. How to Find the LCM of 6265 and 6271?

Answer:

Least Common Multiple of 6265 and 6271 = 39287815

Step 1: Find the prime factorization of 6265

6265 = 5 x 7 x 179

Step 2: Find the prime factorization of 6271

6271 = 6271

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

LCM = 39287815 = 5 x 7 x 179 x 6271

Step 4: Therefore, the least common multiple of 6265 and 6271 is 39287815.