Least Common Multiple of 8209 and 8213

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 8213 the smallest integer that is 67420517 that is divisible by both numbers.

Least Common Multiple (LCM) of 8209 and 8213 is 67420517.

LCM(8209,8213) = 67420517

LCM of 8209 and 8213

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

LCM of:
and

Least Common Multiple of 8209 and 8213

LCM of 8209 and 8213 is 67420517

Least common multiple can be found by multiplying the highest exponent prime factors of 8209 and 8213. First we will calculate the prime factors of 8209 and 8213.

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 8213


43 8213
191 191
1

Prime factors of 8213 are 43,191. Prime factorization of 8213 in exponential form is:

8213 = 431×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8209 and 8213.

LCM(8209,8213) = 431×1911×82091
LCM(8209,8213) = 67420517

Factors of 8209

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

1, 8209

Factors of 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1, 43, 191, 8213

Least Common Multiple of 8209 and 8213 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 8213, than apply into the LCM equation.

GCF(8209,8213) = 1
LCM(8209,8213) = ( 8209 × 8213) / 1
LCM(8209,8213) = 67420517 / 1
LCM(8209,8213) = 67420517

Properties of LCM 8209 and 8213

(i) The LCM of 8213 and 8209 is associative

LCM of 8209 and 8213 = LCM of 8213 and 8209

Related Least Common Multiples of 8209

Related Least Common Multiples of 8213

Frequently Asked Questions on LCM of 8209 and 8213

1. What is the LCM of 8209 and 8213?

Answer: LCM of 8209 and 8213 is 67420517.

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 8213?

Answer: Factors of 8213 are 1, 43, 191, 8213. There are 4 integers that are factors of 8213. The greatest factor of 8213 is 8213.

4. How to Find the LCM of 8209 and 8213?

Answer:

Least Common Multiple of 8209 and 8213 = 67420517

Step 1: Find the prime factorization of 8209

8209 = 8209

Step 2: Find the prime factorization of 8213

8213 = 43 x 191

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

LCM = 67420517 = 43 x 191 x 8209

Step 4: Therefore, the least common multiple of 8209 and 8213 is 67420517.