Least Common Multiple of 8234 and 8241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8234 and 8241 the smallest integer that is 67856394 that is divisible by both numbers.

Least Common Multiple (LCM) of 8234 and 8241 is 67856394.

LCM(8234,8241) = 67856394

LCM of 8234 and 8241

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

LCM of:
and

Least Common Multiple of 8234 and 8241

LCM of 8234 and 8241 is 67856394

Least common multiple can be found by multiplying the highest exponent prime factors of 8234 and 8241. First we will calculate the prime factors of 8234 and 8241.

Prime Factorization of 8234


2 8234
23 4117
179 179
1

Prime factors of 8234 are 2, 23,179. Prime factorization of 8234 in exponential form is:

8234 = 21×231×1791

Prime Factorization of 8241


3 8241
41 2747
67 67
1

Prime factors of 8241 are 3, 41,67. Prime factorization of 8241 in exponential form is:

8241 = 31×411×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8234 and 8241.

LCM(8234,8241) = 21×31×231×411×671×1791
LCM(8234,8241) = 67856394

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1, 2, 23, 46, 179, 358, 4117, 8234

Factors of 8241

List of positive integer factors of 8241 that divides 8241 without a remainder.

1, 3, 41, 67, 123, 201, 2747, 8241

Least Common Multiple of 8234 and 8241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8234 and 8241, than apply into the LCM equation.

GCF(8234,8241) = 1
LCM(8234,8241) = ( 8234 × 8241) / 1
LCM(8234,8241) = 67856394 / 1
LCM(8234,8241) = 67856394

Properties of LCM 8234 and 8241

(i) The LCM of 8241 and 8234 is associative

LCM of 8234 and 8241 = LCM of 8241 and 8234

Related Least Common Multiples of 8234

Related Least Common Multiples of 8241

Frequently Asked Questions on LCM of 8234 and 8241

1. What is the LCM of 8234 and 8241?

Answer: LCM of 8234 and 8241 is 67856394.

2. What are the Factors of 8234?

Answer: Factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234. There are 8 integers that are factors of 8234. The greatest factor of 8234 is 8234.

3. What are the Factors of 8241?

Answer: Factors of 8241 are 1, 3, 41, 67, 123, 201, 2747, 8241. There are 8 integers that are factors of 8241. The greatest factor of 8241 is 8241.

4. How to Find the LCM of 8234 and 8241?

Answer:

Least Common Multiple of 8234 and 8241 = 67856394

Step 1: Find the prime factorization of 8234

8234 = 2 x 23 x 179

Step 2: Find the prime factorization of 8241

8241 = 3 x 41 x 67

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

LCM = 67856394 = 2 x 3 x 23 x 41 x 67 x 179

Step 4: Therefore, the least common multiple of 8234 and 8241 is 67856394.