Least Common Multiple of 8211 and 8216

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 8216 the smallest integer that is 67461576 that is divisible by both numbers.

Least Common Multiple (LCM) of 8211 and 8216 is 67461576.

LCM(8211,8216) = 67461576

LCM of 8211 and 8216

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

LCM of:
and

Least Common Multiple of 8211 and 8216

LCM of 8211 and 8216 is 67461576

Least common multiple can be found by multiplying the highest exponent prime factors of 8211 and 8216. First we will calculate the prime factors of 8211 and 8216.

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 8216


2 8216
2 4108
2 2054
13 1027
79 79
1

Prime factors of 8216 are 2, 13,79. Prime factorization of 8216 in exponential form is:

8216 = 23×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8211 and 8216.

LCM(8211,8216) = 23×31×71×131×171×231×791
LCM(8211,8216) = 67461576

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 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216

Least Common Multiple of 8211 and 8216 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 8216, than apply into the LCM equation.

GCF(8211,8216) = 1
LCM(8211,8216) = ( 8211 × 8216) / 1
LCM(8211,8216) = 67461576 / 1
LCM(8211,8216) = 67461576

Properties of LCM 8211 and 8216

(i) The LCM of 8216 and 8211 is associative

LCM of 8211 and 8216 = LCM of 8216 and 8211

Related Least Common Multiples of 8211

Related Least Common Multiples of 8216

Frequently Asked Questions on LCM of 8211 and 8216

1. What is the LCM of 8211 and 8216?

Answer: LCM of 8211 and 8216 is 67461576.

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 8216?

Answer: Factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216. There are 16 integers that are factors of 8216. The greatest factor of 8216 is 8216.

4. How to Find the LCM of 8211 and 8216?

Answer:

Least Common Multiple of 8211 and 8216 = 67461576

Step 1: Find the prime factorization of 8211

8211 = 3 x 7 x 17 x 23

Step 2: Find the prime factorization of 8216

8216 = 2 x 2 x 2 x 13 x 79

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

LCM = 67461576 = 2 x 2 x 2 x 3 x 7 x 13 x 17 x 23 x 79

Step 4: Therefore, the least common multiple of 8211 and 8216 is 67461576.