Least Common Multiple of 6261 and 6267

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 6267 the smallest integer that is 13079229 that is divisible by both numbers.

Least Common Multiple (LCM) of 6261 and 6267 is 13079229.

LCM(6261,6267) = 13079229

LCM of 6261 and 6267

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

LCM of:
and

Least Common Multiple of 6261 and 6267

LCM of 6261 and 6267 is 13079229

Least common multiple can be found by multiplying the highest exponent prime factors of 6261 and 6267. First we will calculate the prime factors of 6261 and 6267.

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 6267


3 6267
2089 2089
1

Prime factors of 6267 are 3,2089. Prime factorization of 6267 in exponential form is:

6267 = 31×20891

Now multiplying the highest exponent prime factors to calculate the LCM of 6261 and 6267.

LCM(6261,6267) = 31×20871×20891
LCM(6261,6267) = 13079229

Factors of 6261

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

1, 3, 2087, 6261

Factors of 6267

List of positive integer factors of 6267 that divides 6267 without a remainder.

1, 3, 2089, 6267

Least Common Multiple of 6261 and 6267 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 6267, than apply into the LCM equation.

GCF(6261,6267) = 3
LCM(6261,6267) = ( 6261 × 6267) / 3
LCM(6261,6267) = 39237687 / 3
LCM(6261,6267) = 13079229

Properties of LCM 6261 and 6267

(i) The LCM of 6267 and 6261 is associative

LCM of 6261 and 6267 = LCM of 6267 and 6261

Related Least Common Multiples of 6261

Related Least Common Multiples of 6267

Frequently Asked Questions on LCM of 6261 and 6267

1. What is the LCM of 6261 and 6267?

Answer: LCM of 6261 and 6267 is 13079229.

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 6267?

Answer: Factors of 6267 are 1, 3, 2089, 6267. There are 4 integers that are factors of 6267. The greatest factor of 6267 is 6267.

4. How to Find the LCM of 6261 and 6267?

Answer:

Least Common Multiple of 6261 and 6267 = 13079229

Step 1: Find the prime factorization of 6261

6261 = 3 x 2087

Step 2: Find the prime factorization of 6267

6267 = 3 x 2089

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

LCM = 13079229 = 3 x 2087 x 2089

Step 4: Therefore, the least common multiple of 6261 and 6267 is 13079229.