Least Common Multiple of 6221 and 6227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6221 and 6227 the smallest integer that is 38738167 that is divisible by both numbers.

Least Common Multiple (LCM) of 6221 and 6227 is 38738167.

LCM(6221,6227) = 38738167

LCM of 6221 and 6227

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

LCM of:
and

Least Common Multiple of 6221 and 6227

LCM of 6221 and 6227 is 38738167

Least common multiple can be found by multiplying the highest exponent prime factors of 6221 and 6227. First we will calculate the prime factors of 6221 and 6227.

Prime Factorization of 6221


6221 6221
1

Prime factors of 6221 are 6221. Prime factorization of 6221 in exponential form is:

6221 = 62211

Prime Factorization of 6227


13 6227
479 479
1

Prime factors of 6227 are 13,479. Prime factorization of 6227 in exponential form is:

6227 = 131×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 6221 and 6227.

LCM(6221,6227) = 131×4791×62211
LCM(6221,6227) = 38738167

Factors of 6221

List of positive integer factors of 6221 that divides 6221 without a remainder.

1, 6221

Factors of 6227

List of positive integer factors of 6227 that divides 6227 without a remainder.

1, 13, 479, 6227

Least Common Multiple of 6221 and 6227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6221 and 6227, than apply into the LCM equation.

GCF(6221,6227) = 1
LCM(6221,6227) = ( 6221 × 6227) / 1
LCM(6221,6227) = 38738167 / 1
LCM(6221,6227) = 38738167

Properties of LCM 6221 and 6227

(i) The LCM of 6227 and 6221 is associative

LCM of 6221 and 6227 = LCM of 6227 and 6221

Related Least Common Multiples of 6221

Related Least Common Multiples of 6227

Frequently Asked Questions on LCM of 6221 and 6227

1. What is the LCM of 6221 and 6227?

Answer: LCM of 6221 and 6227 is 38738167.

2. What are the Factors of 6221?

Answer: Factors of 6221 are 1, 6221. There are 2 integers that are factors of 6221. The greatest factor of 6221 is 6221.

3. What are the Factors of 6227?

Answer: Factors of 6227 are 1, 13, 479, 6227. There are 4 integers that are factors of 6227. The greatest factor of 6227 is 6227.

4. How to Find the LCM of 6221 and 6227?

Answer:

Least Common Multiple of 6221 and 6227 = 38738167

Step 1: Find the prime factorization of 6221

6221 = 6221

Step 2: Find the prime factorization of 6227

6227 = 13 x 479

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

LCM = 38738167 = 13 x 479 x 6221

Step 4: Therefore, the least common multiple of 6221 and 6227 is 38738167.