Least Common Multiple of 6261 and 6265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6261 and 6265 the smallest integer that is 39225165 that is divisible by both numbers.

Least Common Multiple (LCM) of 6261 and 6265 is 39225165.

LCM(6261,6265) = 39225165

LCM of 6261 and 6265

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

LCM of:
and

Least Common Multiple of 6261 and 6265

LCM of 6261 and 6265 is 39225165

Least common multiple can be found by multiplying the highest exponent prime factors of 6261 and 6265. First we will calculate the prime factors of 6261 and 6265.

Prime Factorization of 6261


3 6261
2087 2087
1

Prime factors of 6261 are 3,2087. Prime factorization of 6261 in exponential form is:

6261 = 31×20871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6261 and 6265.

LCM(6261,6265) = 31×51×71×1791×20871
LCM(6261,6265) = 39225165

Factors of 6261

List of positive integer factors of 6261 that divides 6261 without a remainder.

1, 3, 2087, 6261

Factors of 6265

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

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

Least Common Multiple of 6261 and 6265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6261 and 6265, than apply into the LCM equation.

GCF(6261,6265) = 1
LCM(6261,6265) = ( 6261 × 6265) / 1
LCM(6261,6265) = 39225165 / 1
LCM(6261,6265) = 39225165

Properties of LCM 6261 and 6265

(i) The LCM of 6265 and 6261 is associative

LCM of 6261 and 6265 = LCM of 6265 and 6261

Related Least Common Multiples of 6261

Related Least Common Multiples of 6265

Frequently Asked Questions on LCM of 6261 and 6265

1. What is the LCM of 6261 and 6265?

Answer: LCM of 6261 and 6265 is 39225165.

2. What are the Factors of 6261?

Answer: Factors of 6261 are 1, 3, 2087, 6261. There are 4 integers that are factors of 6261. The greatest factor of 6261 is 6261.

3. 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.

4. How to Find the LCM of 6261 and 6265?

Answer:

Least Common Multiple of 6261 and 6265 = 39225165

Step 1: Find the prime factorization of 6261

6261 = 3 x 2087

Step 2: Find the prime factorization of 6265

6265 = 5 x 7 x 179

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

LCM = 39225165 = 3 x 5 x 7 x 179 x 2087

Step 4: Therefore, the least common multiple of 6261 and 6265 is 39225165.