Least Common Multiple of 8218 and 8226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8218 and 8226 the smallest integer that is 33800634 that is divisible by both numbers.

Least Common Multiple (LCM) of 8218 and 8226 is 33800634.

LCM(8218,8226) = 33800634

LCM of 8218 and 8226

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

LCM of:
and

Least Common Multiple of 8218 and 8226

LCM of 8218 and 8226 is 33800634

Least common multiple can be found by multiplying the highest exponent prime factors of 8218 and 8226. First we will calculate the prime factors of 8218 and 8226.

Prime Factorization of 8218


2 8218
7 4109
587 587
1

Prime factors of 8218 are 2, 7,587. Prime factorization of 8218 in exponential form is:

8218 = 21×71×5871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8218 and 8226.

LCM(8218,8226) = 21×32×71×4571×5871
LCM(8218,8226) = 33800634

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1, 2, 7, 14, 587, 1174, 4109, 8218

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

Least Common Multiple of 8218 and 8226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8218 and 8226, than apply into the LCM equation.

GCF(8218,8226) = 2
LCM(8218,8226) = ( 8218 × 8226) / 2
LCM(8218,8226) = 67601268 / 2
LCM(8218,8226) = 33800634

Properties of LCM 8218 and 8226

(i) The LCM of 8226 and 8218 is associative

LCM of 8218 and 8226 = LCM of 8226 and 8218

Related Least Common Multiples of 8218

Related Least Common Multiples of 8226

Frequently Asked Questions on LCM of 8218 and 8226

1. What is the LCM of 8218 and 8226?

Answer: LCM of 8218 and 8226 is 33800634.

2. What are the Factors of 8218?

Answer: Factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218. There are 8 integers that are factors of 8218. The greatest factor of 8218 is 8218.

3. 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.

4. How to Find the LCM of 8218 and 8226?

Answer:

Least Common Multiple of 8218 and 8226 = 33800634

Step 1: Find the prime factorization of 8218

8218 = 2 x 7 x 587

Step 2: Find the prime factorization of 8226

8226 = 2 x 3 x 3 x 457

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

LCM = 33800634 = 2 x 3 x 3 x 7 x 457 x 587

Step 4: Therefore, the least common multiple of 8218 and 8226 is 33800634.