Least Common Multiple of 8209 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 8209 and 8217 the smallest integer that is 67453353 that is divisible by both numbers.

Least Common Multiple (LCM) of 8209 and 8217 is 67453353.

LCM(8209,8217) = 67453353

LCM of 8209 and 8217

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

LCM of:
and

Least Common Multiple of 8209 and 8217

LCM of 8209 and 8217 is 67453353

Least common multiple can be found by multiplying the highest exponent prime factors of 8209 and 8217. First we will calculate the prime factors of 8209 and 8217.

Prime Factorization of 8209


8209 8209
1

Prime factors of 8209 are 8209. Prime factorization of 8209 in exponential form is:

8209 = 82091

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 8209 and 8217.

LCM(8209,8217) = 32×111×831×82091
LCM(8209,8217) = 67453353

Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

1, 8209

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 8209 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 8209 and 8217, than apply into the LCM equation.

GCF(8209,8217) = 1
LCM(8209,8217) = ( 8209 × 8217) / 1
LCM(8209,8217) = 67453353 / 1
LCM(8209,8217) = 67453353

Properties of LCM 8209 and 8217

(i) The LCM of 8217 and 8209 is associative

LCM of 8209 and 8217 = LCM of 8217 and 8209

Related Least Common Multiples of 8209

Related Least Common Multiples of 8217

Frequently Asked Questions on LCM of 8209 and 8217

1. What is the LCM of 8209 and 8217?

Answer: LCM of 8209 and 8217 is 67453353.

2. What are the Factors of 8209?

Answer: Factors of 8209 are 1, 8209. There are 2 integers that are factors of 8209. The greatest factor of 8209 is 8209.

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 8209 and 8217?

Answer:

Least Common Multiple of 8209 and 8217 = 67453353

Step 1: Find the prime factorization of 8209

8209 = 8209

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 = 67453353 = 3 x 3 x 11 x 83 x 8209

Step 4: Therefore, the least common multiple of 8209 and 8217 is 67453353.