Least Common Multiple of 6219 and 6221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6219 and 6221 the smallest integer that is 38688399 that is divisible by both numbers.

Least Common Multiple (LCM) of 6219 and 6221 is 38688399.

LCM(6219,6221) = 38688399

LCM of 6219 and 6221

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

LCM of:
and

Least Common Multiple of 6219 and 6221

LCM of 6219 and 6221 is 38688399

Least common multiple can be found by multiplying the highest exponent prime factors of 6219 and 6221. First we will calculate the prime factors of 6219 and 6221.

Prime Factorization of 6219


3 6219
3 2073
691 691
1

Prime factors of 6219 are 3,691. Prime factorization of 6219 in exponential form is:

6219 = 32×6911

Prime Factorization of 6221


6221 6221
1

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

6221 = 62211

Now multiplying the highest exponent prime factors to calculate the LCM of 6219 and 6221.

LCM(6219,6221) = 32×6911×62211
LCM(6219,6221) = 38688399

Factors of 6219

List of positive integer factors of 6219 that divides 6219 without a remainder.

1, 3, 9, 691, 2073, 6219

Factors of 6221

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

1, 6221

Least Common Multiple of 6219 and 6221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6219 and 6221, than apply into the LCM equation.

GCF(6219,6221) = 1
LCM(6219,6221) = ( 6219 × 6221) / 1
LCM(6219,6221) = 38688399 / 1
LCM(6219,6221) = 38688399

Properties of LCM 6219 and 6221

(i) The LCM of 6221 and 6219 is associative

LCM of 6219 and 6221 = LCM of 6221 and 6219

Related Least Common Multiples of 6219

Related Least Common Multiples of 6221

Frequently Asked Questions on LCM of 6219 and 6221

1. What is the LCM of 6219 and 6221?

Answer: LCM of 6219 and 6221 is 38688399.

2. What are the Factors of 6219?

Answer: Factors of 6219 are 1, 3, 9, 691, 2073, 6219. There are 6 integers that are factors of 6219. The greatest factor of 6219 is 6219.

3. 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.

4. How to Find the LCM of 6219 and 6221?

Answer:

Least Common Multiple of 6219 and 6221 = 38688399

Step 1: Find the prime factorization of 6219

6219 = 3 x 3 x 691

Step 2: Find the prime factorization of 6221

6221 = 6221

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

LCM = 38688399 = 3 x 3 x 691 x 6221

Step 4: Therefore, the least common multiple of 6219 and 6221 is 38688399.