Least Common Multiple of 8197 and 8202

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 8202 the smallest integer that is 67231794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8197 and 8202 is 67231794.

LCM(8197,8202) = 67231794

LCM of 8197 and 8202

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

LCM of:
and

Least Common Multiple of 8197 and 8202

LCM of 8197 and 8202 is 67231794

Least common multiple can be found by multiplying the highest exponent prime factors of 8197 and 8202. First we will calculate the prime factors of 8197 and 8202.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8197 and 8202.

LCM(8197,8202) = 21×31×71×11711×13671
LCM(8197,8202) = 67231794

Factors of 8197

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

1, 7, 1171, 8197

Factors of 8202

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

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

Least Common Multiple of 8197 and 8202 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 8202, than apply into the LCM equation.

GCF(8197,8202) = 1
LCM(8197,8202) = ( 8197 × 8202) / 1
LCM(8197,8202) = 67231794 / 1
LCM(8197,8202) = 67231794

Properties of LCM 8197 and 8202

(i) The LCM of 8202 and 8197 is associative

LCM of 8197 and 8202 = LCM of 8202 and 8197

Related Least Common Multiples of 8197

Related Least Common Multiples of 8202

Frequently Asked Questions on LCM of 8197 and 8202

1. What is the LCM of 8197 and 8202?

Answer: LCM of 8197 and 8202 is 67231794.

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 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.

4. How to Find the LCM of 8197 and 8202?

Answer:

Least Common Multiple of 8197 and 8202 = 67231794

Step 1: Find the prime factorization of 8197

8197 = 7 x 1171

Step 2: Find the prime factorization of 8202

8202 = 2 x 3 x 1367

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

LCM = 67231794 = 2 x 3 x 7 x 1171 x 1367

Step 4: Therefore, the least common multiple of 8197 and 8202 is 67231794.