Least Common Multiple of 8197 and 8204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8197 and 8204 the smallest integer that is 9606884 that is divisible by both numbers.

Least Common Multiple (LCM) of 8197 and 8204 is 9606884.

LCM(8197,8204) = 9606884

LCM of 8197 and 8204

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

LCM of:
and

Least Common Multiple of 8197 and 8204

LCM of 8197 and 8204 is 9606884

Least common multiple can be found by multiplying the highest exponent prime factors of 8197 and 8204. First we will calculate the prime factors of 8197 and 8204.

Prime Factorization of 8197


7 8197
1171 1171
1

Prime factors of 8197 are 7,1171. Prime factorization of 8197 in exponential form is:

8197 = 71×11711

Prime Factorization of 8204


2 8204
2 4102
7 2051
293 293
1

Prime factors of 8204 are 2, 7,293. Prime factorization of 8204 in exponential form is:

8204 = 22×71×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 8197 and 8204.

LCM(8197,8204) = 22×71×2931×11711
LCM(8197,8204) = 9606884

Factors of 8197

List of positive integer factors of 8197 that divides 8197 without a remainder.

1, 7, 1171, 8197

Factors of 8204

List of positive integer factors of 8204 that divides 8204 without a remainder.

1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204

Least Common Multiple of 8197 and 8204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8197 and 8204, than apply into the LCM equation.

GCF(8197,8204) = 7
LCM(8197,8204) = ( 8197 × 8204) / 7
LCM(8197,8204) = 67248188 / 7
LCM(8197,8204) = 9606884

Properties of LCM 8197 and 8204

(i) The LCM of 8204 and 8197 is associative

LCM of 8197 and 8204 = LCM of 8204 and 8197

Related Least Common Multiples of 8197

Related Least Common Multiples of 8204

Frequently Asked Questions on LCM of 8197 and 8204

1. What is the LCM of 8197 and 8204?

Answer: LCM of 8197 and 8204 is 9606884.

2. What are the Factors of 8197?

Answer: Factors of 8197 are 1, 7, 1171, 8197. There are 4 integers that are factors of 8197. The greatest factor of 8197 is 8197.

3. What are the Factors of 8204?

Answer: Factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204. There are 12 integers that are factors of 8204. The greatest factor of 8204 is 8204.

4. How to Find the LCM of 8197 and 8204?

Answer:

Least Common Multiple of 8197 and 8204 = 9606884

Step 1: Find the prime factorization of 8197

8197 = 7 x 1171

Step 2: Find the prime factorization of 8204

8204 = 2 x 2 x 7 x 293

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

LCM = 9606884 = 2 x 2 x 7 x 293 x 1171

Step 4: Therefore, the least common multiple of 8197 and 8204 is 9606884.