Least Common Multiple of 8198 and 8205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8198 and 8205 the smallest integer that is 67264590 that is divisible by both numbers.

Least Common Multiple (LCM) of 8198 and 8205 is 67264590.

LCM(8198,8205) = 67264590

LCM of 8198 and 8205

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

LCM of:
and

Least Common Multiple of 8198 and 8205

LCM of 8198 and 8205 is 67264590

Least common multiple can be found by multiplying the highest exponent prime factors of 8198 and 8205. First we will calculate the prime factors of 8198 and 8205.

Prime Factorization of 8198


2 8198
4099 4099
1

Prime factors of 8198 are 2,4099. Prime factorization of 8198 in exponential form is:

8198 = 21×40991

Prime Factorization of 8205


3 8205
5 2735
547 547
1

Prime factors of 8205 are 3, 5,547. Prime factorization of 8205 in exponential form is:

8205 = 31×51×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 8198 and 8205.

LCM(8198,8205) = 21×31×51×5471×40991
LCM(8198,8205) = 67264590

Factors of 8198

List of positive integer factors of 8198 that divides 8198 without a remainder.

1, 2, 4099, 8198

Factors of 8205

List of positive integer factors of 8205 that divides 8205 without a remainder.

1, 3, 5, 15, 547, 1641, 2735, 8205

Least Common Multiple of 8198 and 8205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8198 and 8205, than apply into the LCM equation.

GCF(8198,8205) = 1
LCM(8198,8205) = ( 8198 × 8205) / 1
LCM(8198,8205) = 67264590 / 1
LCM(8198,8205) = 67264590

Properties of LCM 8198 and 8205

(i) The LCM of 8205 and 8198 is associative

LCM of 8198 and 8205 = LCM of 8205 and 8198

Related Least Common Multiples of 8198

Related Least Common Multiples of 8205

Frequently Asked Questions on LCM of 8198 and 8205

1. What is the LCM of 8198 and 8205?

Answer: LCM of 8198 and 8205 is 67264590.

2. What are the Factors of 8198?

Answer: Factors of 8198 are 1, 2, 4099, 8198. There are 4 integers that are factors of 8198. The greatest factor of 8198 is 8198.

3. What are the Factors of 8205?

Answer: Factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205. There are 8 integers that are factors of 8205. The greatest factor of 8205 is 8205.

4. How to Find the LCM of 8198 and 8205?

Answer:

Least Common Multiple of 8198 and 8205 = 67264590

Step 1: Find the prime factorization of 8198

8198 = 2 x 4099

Step 2: Find the prime factorization of 8205

8205 = 3 x 5 x 547

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

LCM = 67264590 = 2 x 3 x 5 x 547 x 4099

Step 4: Therefore, the least common multiple of 8198 and 8205 is 67264590.