Least Common Multiple of 6224 and 6230

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 6230 the smallest integer that is 19387760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6224 and 6230 is 19387760.

LCM(6224,6230) = 19387760

LCM of 6224 and 6230

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

LCM of:
and

Least Common Multiple of 6224 and 6230

LCM of 6224 and 6230 is 19387760

Least common multiple can be found by multiplying the highest exponent prime factors of 6224 and 6230. First we will calculate the prime factors of 6224 and 6230.

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 6230


2 6230
5 3115
7 623
89 89
1

Prime factors of 6230 are 2, 5, 7,89. Prime factorization of 6230 in exponential form is:

6230 = 21×51×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6224 and 6230.

LCM(6224,6230) = 24×51×71×891×3891
LCM(6224,6230) = 19387760

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 6230

List of positive integer factors of 6230 that divides 6230 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230

Least Common Multiple of 6224 and 6230 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 6230, than apply into the LCM equation.

GCF(6224,6230) = 2
LCM(6224,6230) = ( 6224 × 6230) / 2
LCM(6224,6230) = 38775520 / 2
LCM(6224,6230) = 19387760

Properties of LCM 6224 and 6230

(i) The LCM of 6230 and 6224 is associative

LCM of 6224 and 6230 = LCM of 6230 and 6224

Related Least Common Multiples of 6224

Related Least Common Multiples of 6230

Frequently Asked Questions on LCM of 6224 and 6230

1. What is the LCM of 6224 and 6230?

Answer: LCM of 6224 and 6230 is 19387760.

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 6230?

Answer: Factors of 6230 are 1, 2, 5, 7, 10, 14, 35, 70, 89, 178, 445, 623, 890, 1246, 3115, 6230. There are 16 integers that are factors of 6230. The greatest factor of 6230 is 6230.

4. How to Find the LCM of 6224 and 6230?

Answer:

Least Common Multiple of 6224 and 6230 = 19387760

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 6230

6230 = 2 x 5 x 7 x 89

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

LCM = 19387760 = 2 x 2 x 2 x 2 x 5 x 7 x 89 x 389

Step 4: Therefore, the least common multiple of 6224 and 6230 is 19387760.