Least Common Multiple of 8201 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 8201 and 8204 the smallest integer that is 67281004 that is divisible by both numbers.

Least Common Multiple (LCM) of 8201 and 8204 is 67281004.

LCM(8201,8204) = 67281004

LCM of 8201 and 8204

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

LCM of:
and

Least Common Multiple of 8201 and 8204

LCM of 8201 and 8204 is 67281004

Least common multiple can be found by multiplying the highest exponent prime factors of 8201 and 8204. First we will calculate the prime factors of 8201 and 8204.

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

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 8201 and 8204.

LCM(8201,8204) = 22×71×591×1391×2931
LCM(8201,8204) = 67281004

Factors of 8201

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

1, 59, 139, 8201

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 8201 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 8201 and 8204, than apply into the LCM equation.

GCF(8201,8204) = 1
LCM(8201,8204) = ( 8201 × 8204) / 1
LCM(8201,8204) = 67281004 / 1
LCM(8201,8204) = 67281004

Properties of LCM 8201 and 8204

(i) The LCM of 8204 and 8201 is associative

LCM of 8201 and 8204 = LCM of 8204 and 8201

Related Least Common Multiples of 8201

Related Least Common Multiples of 8204

Frequently Asked Questions on LCM of 8201 and 8204

1. What is the LCM of 8201 and 8204?

Answer: LCM of 8201 and 8204 is 67281004.

2. 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.

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 8201 and 8204?

Answer:

Least Common Multiple of 8201 and 8204 = 67281004

Step 1: Find the prime factorization of 8201

8201 = 59 x 139

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 = 67281004 = 2 x 2 x 7 x 59 x 139 x 293

Step 4: Therefore, the least common multiple of 8201 and 8204 is 67281004.