Least Common Multiple of 8202 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 8202 and 8205 the smallest integer that is 22432470 that is divisible by both numbers.

Least Common Multiple (LCM) of 8202 and 8205 is 22432470.

LCM(8202,8205) = 22432470

LCM of 8202 and 8205

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

LCM of:
and

Least Common Multiple of 8202 and 8205

LCM of 8202 and 8205 is 22432470

Least common multiple can be found by multiplying the highest exponent prime factors of 8202 and 8205. First we will calculate the prime factors of 8202 and 8205.

Prime Factorization of 8202


2 8202
3 4101
1367 1367
1

Prime factors of 8202 are 2, 3,1367. Prime factorization of 8202 in exponential form is:

8202 = 21×31×13671

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 8202 and 8205.

LCM(8202,8205) = 21×31×51×5471×13671
LCM(8202,8205) = 22432470

Factors of 8202

List of positive integer factors of 8202 that divides 8202 without a remainder.

1, 2, 3, 6, 1367, 2734, 4101, 8202

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 8202 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 8202 and 8205, than apply into the LCM equation.

GCF(8202,8205) = 3
LCM(8202,8205) = ( 8202 × 8205) / 3
LCM(8202,8205) = 67297410 / 3
LCM(8202,8205) = 22432470

Properties of LCM 8202 and 8205

(i) The LCM of 8205 and 8202 is associative

LCM of 8202 and 8205 = LCM of 8205 and 8202

Related Least Common Multiples of 8202

Related Least Common Multiples of 8205

Frequently Asked Questions on LCM of 8202 and 8205

1. What is the LCM of 8202 and 8205?

Answer: LCM of 8202 and 8205 is 22432470.

2. What are the Factors of 8202?

Answer: Factors of 8202 are 1, 2, 3, 6, 1367, 2734, 4101, 8202. There are 8 integers that are factors of 8202. The greatest factor of 8202 is 8202.

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 8202 and 8205?

Answer:

Least Common Multiple of 8202 and 8205 = 22432470

Step 1: Find the prime factorization of 8202

8202 = 2 x 3 x 1367

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 = 22432470 = 2 x 3 x 5 x 547 x 1367

Step 4: Therefore, the least common multiple of 8202 and 8205 is 22432470.