Least Common Multiple of 8226 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 8226 and 8230 the smallest integer that is 33849990 that is divisible by both numbers.

Least Common Multiple (LCM) of 8226 and 8230 is 33849990.

LCM(8226,8230) = 33849990

LCM of 8226 and 8230

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

LCM of:
and

Least Common Multiple of 8226 and 8230

LCM of 8226 and 8230 is 33849990

Least common multiple can be found by multiplying the highest exponent prime factors of 8226 and 8230. First we will calculate the prime factors of 8226 and 8230.

Prime Factorization of 8226


2 8226
3 4113
3 1371
457 457
1

Prime factors of 8226 are 2, 3,457. Prime factorization of 8226 in exponential form is:

8226 = 21×32×4571

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 8226 and 8230.

LCM(8226,8230) = 21×32×51×4571×8231
LCM(8226,8230) = 33849990

Factors of 8226

List of positive integer factors of 8226 that divides 8226 without a remainder.

1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226

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 8226 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 8226 and 8230, than apply into the LCM equation.

GCF(8226,8230) = 2
LCM(8226,8230) = ( 8226 × 8230) / 2
LCM(8226,8230) = 67699980 / 2
LCM(8226,8230) = 33849990

Properties of LCM 8226 and 8230

(i) The LCM of 8230 and 8226 is associative

LCM of 8226 and 8230 = LCM of 8230 and 8226

Related Least Common Multiples of 8226

Related Least Common Multiples of 8230

Frequently Asked Questions on LCM of 8226 and 8230

1. What is the LCM of 8226 and 8230?

Answer: LCM of 8226 and 8230 is 33849990.

2. What are the Factors of 8226?

Answer: Factors of 8226 are 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742, 4113, 8226. There are 12 integers that are factors of 8226. The greatest factor of 8226 is 8226.

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 8226 and 8230?

Answer:

Least Common Multiple of 8226 and 8230 = 33849990

Step 1: Find the prime factorization of 8226

8226 = 2 x 3 x 3 x 457

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 = 33849990 = 2 x 3 x 3 x 5 x 457 x 823

Step 4: Therefore, the least common multiple of 8226 and 8230 is 33849990.