Least Common Multiple of 6219 and 6223

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 6223 the smallest integer that is 38700837 that is divisible by both numbers.

Least Common Multiple (LCM) of 6219 and 6223 is 38700837.

LCM(6219,6223) = 38700837

LCM of 6219 and 6223

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

LCM of:
and

Least Common Multiple of 6219 and 6223

LCM of 6219 and 6223 is 38700837

Least common multiple can be found by multiplying the highest exponent prime factors of 6219 and 6223. First we will calculate the prime factors of 6219 and 6223.

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 6223


7 6223
7 889
127 127
1

Prime factors of 6223 are 7,127. Prime factorization of 6223 in exponential form is:

6223 = 72×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6219 and 6223.

LCM(6219,6223) = 32×72×1271×6911
LCM(6219,6223) = 38700837

Factors of 6219

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

1, 3, 9, 691, 2073, 6219

Factors of 6223

List of positive integer factors of 6223 that divides 6223 without a remainder.

1, 7, 49, 127, 889, 6223

Least Common Multiple of 6219 and 6223 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 6223, than apply into the LCM equation.

GCF(6219,6223) = 1
LCM(6219,6223) = ( 6219 × 6223) / 1
LCM(6219,6223) = 38700837 / 1
LCM(6219,6223) = 38700837

Properties of LCM 6219 and 6223

(i) The LCM of 6223 and 6219 is associative

LCM of 6219 and 6223 = LCM of 6223 and 6219

Related Least Common Multiples of 6219

Related Least Common Multiples of 6223

Frequently Asked Questions on LCM of 6219 and 6223

1. What is the LCM of 6219 and 6223?

Answer: LCM of 6219 and 6223 is 38700837.

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 6223?

Answer: Factors of 6223 are 1, 7, 49, 127, 889, 6223. There are 6 integers that are factors of 6223. The greatest factor of 6223 is 6223.

4. How to Find the LCM of 6219 and 6223?

Answer:

Least Common Multiple of 6219 and 6223 = 38700837

Step 1: Find the prime factorization of 6219

6219 = 3 x 3 x 691

Step 2: Find the prime factorization of 6223

6223 = 7 x 7 x 127

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

LCM = 38700837 = 3 x 3 x 7 x 7 x 127 x 691

Step 4: Therefore, the least common multiple of 6219 and 6223 is 38700837.