Least Common Multiple of 6224 and 6229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6224 and 6229 the smallest integer that is 38769296 that is divisible by both numbers.

Least Common Multiple (LCM) of 6224 and 6229 is 38769296.

LCM(6224,6229) = 38769296

LCM of 6224 and 6229

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

LCM of:
and

Least Common Multiple of 6224 and 6229

LCM of 6224 and 6229 is 38769296

Least common multiple can be found by multiplying the highest exponent prime factors of 6224 and 6229. First we will calculate the prime factors of 6224 and 6229.

Prime Factorization of 6224


2 6224
2 3112
2 1556
2 778
389 389
1

Prime factors of 6224 are 2,389. Prime factorization of 6224 in exponential form is:

6224 = 24×3891

Prime Factorization of 6229


6229 6229
1

Prime factors of 6229 are 6229. Prime factorization of 6229 in exponential form is:

6229 = 62291

Now multiplying the highest exponent prime factors to calculate the LCM of 6224 and 6229.

LCM(6224,6229) = 24×3891×62291
LCM(6224,6229) = 38769296

Factors of 6224

List of positive integer factors of 6224 that divides 6224 without a remainder.

1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224

Factors of 6229

List of positive integer factors of 6229 that divides 6229 without a remainder.

1, 6229

Least Common Multiple of 6224 and 6229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6224 and 6229, than apply into the LCM equation.

GCF(6224,6229) = 1
LCM(6224,6229) = ( 6224 × 6229) / 1
LCM(6224,6229) = 38769296 / 1
LCM(6224,6229) = 38769296

Properties of LCM 6224 and 6229

(i) The LCM of 6229 and 6224 is associative

LCM of 6224 and 6229 = LCM of 6229 and 6224

Related Least Common Multiples of 6224

Related Least Common Multiples of 6229

Frequently Asked Questions on LCM of 6224 and 6229

1. What is the LCM of 6224 and 6229?

Answer: LCM of 6224 and 6229 is 38769296.

2. What are the Factors of 6224?

Answer: Factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224. There are 10 integers that are factors of 6224. The greatest factor of 6224 is 6224.

3. What are the Factors of 6229?

Answer: Factors of 6229 are 1, 6229. There are 2 integers that are factors of 6229. The greatest factor of 6229 is 6229.

4. How to Find the LCM of 6224 and 6229?

Answer:

Least Common Multiple of 6224 and 6229 = 38769296

Step 1: Find the prime factorization of 6224

6224 = 2 x 2 x 2 x 2 x 389

Step 2: Find the prime factorization of 6229

6229 = 6229

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

LCM = 38769296 = 2 x 2 x 2 x 2 x 389 x 6229

Step 4: Therefore, the least common multiple of 6224 and 6229 is 38769296.