Least Common Multiple of 8196 and 8201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8196 and 8201 the smallest integer that is 67215396 that is divisible by both numbers.

Least Common Multiple (LCM) of 8196 and 8201 is 67215396.

LCM(8196,8201) = 67215396

LCM of 8196 and 8201

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

LCM of:
and

Least Common Multiple of 8196 and 8201

LCM of 8196 and 8201 is 67215396

Least common multiple can be found by multiplying the highest exponent prime factors of 8196 and 8201. First we will calculate the prime factors of 8196 and 8201.

Prime Factorization of 8196


2 8196
2 4098
3 2049
683 683
1

Prime factors of 8196 are 2, 3,683. Prime factorization of 8196 in exponential form is:

8196 = 22×31×6831

Prime Factorization of 8201


59 8201
139 139
1

Prime factors of 8201 are 59,139. Prime factorization of 8201 in exponential form is:

8201 = 591×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8196 and 8201.

LCM(8196,8201) = 22×31×591×1391×6831
LCM(8196,8201) = 67215396

Factors of 8196

List of positive integer factors of 8196 that divides 8196 without a remainder.

1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196

Factors of 8201

List of positive integer factors of 8201 that divides 8201 without a remainder.

1, 59, 139, 8201

Least Common Multiple of 8196 and 8201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8196 and 8201, than apply into the LCM equation.

GCF(8196,8201) = 1
LCM(8196,8201) = ( 8196 × 8201) / 1
LCM(8196,8201) = 67215396 / 1
LCM(8196,8201) = 67215396

Properties of LCM 8196 and 8201

(i) The LCM of 8201 and 8196 is associative

LCM of 8196 and 8201 = LCM of 8201 and 8196

Related Least Common Multiples of 8196

Related Least Common Multiples of 8201

Frequently Asked Questions on LCM of 8196 and 8201

1. What is the LCM of 8196 and 8201?

Answer: LCM of 8196 and 8201 is 67215396.

2. What are the Factors of 8196?

Answer: Factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196. There are 12 integers that are factors of 8196. The greatest factor of 8196 is 8196.

3. What are the Factors of 8201?

Answer: Factors of 8201 are 1, 59, 139, 8201. There are 4 integers that are factors of 8201. The greatest factor of 8201 is 8201.

4. How to Find the LCM of 8196 and 8201?

Answer:

Least Common Multiple of 8196 and 8201 = 67215396

Step 1: Find the prime factorization of 8196

8196 = 2 x 2 x 3 x 683

Step 2: Find the prime factorization of 8201

8201 = 59 x 139

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

LCM = 67215396 = 2 x 2 x 3 x 59 x 139 x 683

Step 4: Therefore, the least common multiple of 8196 and 8201 is 67215396.