Least Common Multiple of 6213 and 6219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6213 and 6219 the smallest integer that is 12879549 that is divisible by both numbers.

Least Common Multiple (LCM) of 6213 and 6219 is 12879549.

LCM(6213,6219) = 12879549

LCM of 6213 and 6219

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

LCM of:
and

Least Common Multiple of 6213 and 6219

LCM of 6213 and 6219 is 12879549

Least common multiple can be found by multiplying the highest exponent prime factors of 6213 and 6219. First we will calculate the prime factors of 6213 and 6219.

Prime Factorization of 6213


3 6213
19 2071
109 109
1

Prime factors of 6213 are 3, 19,109. Prime factorization of 6213 in exponential form is:

6213 = 31×191×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6213 and 6219.

LCM(6213,6219) = 32×191×1091×6911
LCM(6213,6219) = 12879549

Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1, 3, 19, 57, 109, 327, 2071, 6213

Factors of 6219

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

1, 3, 9, 691, 2073, 6219

Least Common Multiple of 6213 and 6219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6213 and 6219, than apply into the LCM equation.

GCF(6213,6219) = 3
LCM(6213,6219) = ( 6213 × 6219) / 3
LCM(6213,6219) = 38638647 / 3
LCM(6213,6219) = 12879549

Properties of LCM 6213 and 6219

(i) The LCM of 6219 and 6213 is associative

LCM of 6213 and 6219 = LCM of 6219 and 6213

Related Least Common Multiples of 6213

Related Least Common Multiples of 6219

Frequently Asked Questions on LCM of 6213 and 6219

1. What is the LCM of 6213 and 6219?

Answer: LCM of 6213 and 6219 is 12879549.

2. What are the Factors of 6213?

Answer: Factors of 6213 are 1, 3, 19, 57, 109, 327, 2071, 6213. There are 8 integers that are factors of 6213. The greatest factor of 6213 is 6213.

3. 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.

4. How to Find the LCM of 6213 and 6219?

Answer:

Least Common Multiple of 6213 and 6219 = 12879549

Step 1: Find the prime factorization of 6213

6213 = 3 x 19 x 109

Step 2: Find the prime factorization of 6219

6219 = 3 x 3 x 691

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

LCM = 12879549 = 3 x 3 x 19 x 109 x 691

Step 4: Therefore, the least common multiple of 6213 and 6219 is 12879549.