Least Common Multiple of 8222 and 8230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8222 and 8230 the smallest integer that is 33833530 that is divisible by both numbers.

Least Common Multiple (LCM) of 8222 and 8230 is 33833530.

LCM(8222,8230) = 33833530

LCM of 8222 and 8230

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

LCM of:
and

Least Common Multiple of 8222 and 8230

LCM of 8222 and 8230 is 33833530

Least common multiple can be found by multiplying the highest exponent prime factors of 8222 and 8230. First we will calculate the prime factors of 8222 and 8230.

Prime Factorization of 8222


2 8222
4111 4111
1

Prime factors of 8222 are 2,4111. Prime factorization of 8222 in exponential form is:

8222 = 21×41111

Prime Factorization of 8230


2 8230
5 4115
823 823
1

Prime factors of 8230 are 2, 5,823. Prime factorization of 8230 in exponential form is:

8230 = 21×51×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 8222 and 8230.

LCM(8222,8230) = 21×51×8231×41111
LCM(8222,8230) = 33833530

Factors of 8222

List of positive integer factors of 8222 that divides 8222 without a remainder.

1, 2, 4111, 8222

Factors of 8230

List of positive integer factors of 8230 that divides 8230 without a remainder.

1, 2, 5, 10, 823, 1646, 4115, 8230

Least Common Multiple of 8222 and 8230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8222 and 8230, than apply into the LCM equation.

GCF(8222,8230) = 2
LCM(8222,8230) = ( 8222 × 8230) / 2
LCM(8222,8230) = 67667060 / 2
LCM(8222,8230) = 33833530

Properties of LCM 8222 and 8230

(i) The LCM of 8230 and 8222 is associative

LCM of 8222 and 8230 = LCM of 8230 and 8222

Related Least Common Multiples of 8222

Related Least Common Multiples of 8230

Frequently Asked Questions on LCM of 8222 and 8230

1. What is the LCM of 8222 and 8230?

Answer: LCM of 8222 and 8230 is 33833530.

2. What are the Factors of 8222?

Answer: Factors of 8222 are 1, 2, 4111, 8222. There are 4 integers that are factors of 8222. The greatest factor of 8222 is 8222.

3. What are the Factors of 8230?

Answer: Factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230. There are 8 integers that are factors of 8230. The greatest factor of 8230 is 8230.

4. How to Find the LCM of 8222 and 8230?

Answer:

Least Common Multiple of 8222 and 8230 = 33833530

Step 1: Find the prime factorization of 8222

8222 = 2 x 4111

Step 2: Find the prime factorization of 8230

8230 = 2 x 5 x 823

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

LCM = 33833530 = 2 x 5 x 823 x 4111

Step 4: Therefore, the least common multiple of 8222 and 8230 is 33833530.