Least Common Multiple of 8211 and 8217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8211 and 8217 the smallest integer that is 22489929 that is divisible by both numbers.

Least Common Multiple (LCM) of 8211 and 8217 is 22489929.

LCM(8211,8217) = 22489929

LCM of 8211 and 8217

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

LCM of:
and

Least Common Multiple of 8211 and 8217

LCM of 8211 and 8217 is 22489929

Least common multiple can be found by multiplying the highest exponent prime factors of 8211 and 8217. First we will calculate the prime factors of 8211 and 8217.

Prime Factorization of 8211


3 8211
7 2737
17 391
23 23
1

Prime factors of 8211 are 3, 7, 17,23. Prime factorization of 8211 in exponential form is:

8211 = 31×71×171×231

Prime Factorization of 8217


3 8217
3 2739
11 913
83 83
1

Prime factors of 8217 are 3, 11,83. Prime factorization of 8217 in exponential form is:

8217 = 32×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8211 and 8217.

LCM(8211,8217) = 32×71×111×171×231×831
LCM(8211,8217) = 22489929

Factors of 8211

List of positive integer factors of 8211 that divides 8211 without a remainder.

1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217

Least Common Multiple of 8211 and 8217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8211 and 8217, than apply into the LCM equation.

GCF(8211,8217) = 3
LCM(8211,8217) = ( 8211 × 8217) / 3
LCM(8211,8217) = 67469787 / 3
LCM(8211,8217) = 22489929

Properties of LCM 8211 and 8217

(i) The LCM of 8217 and 8211 is associative

LCM of 8211 and 8217 = LCM of 8217 and 8211

Related Least Common Multiples of 8211

Related Least Common Multiples of 8217

Frequently Asked Questions on LCM of 8211 and 8217

1. What is the LCM of 8211 and 8217?

Answer: LCM of 8211 and 8217 is 22489929.

2. What are the Factors of 8211?

Answer: Factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211. There are 16 integers that are factors of 8211. The greatest factor of 8211 is 8211.

3. What are the Factors of 8217?

Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.

4. How to Find the LCM of 8211 and 8217?

Answer:

Least Common Multiple of 8211 and 8217 = 22489929

Step 1: Find the prime factorization of 8211

8211 = 3 x 7 x 17 x 23

Step 2: Find the prime factorization of 8217

8217 = 3 x 3 x 11 x 83

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

LCM = 22489929 = 3 x 3 x 7 x 11 x 17 x 23 x 83

Step 4: Therefore, the least common multiple of 8211 and 8217 is 22489929.