Least Common Multiple of 8236 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 8236 and 8241 the smallest integer that is 67872876 that is divisible by both numbers.

Least Common Multiple (LCM) of 8236 and 8241 is 67872876.

LCM(8236,8241) = 67872876

LCM of 8236 and 8241

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

LCM of:
and

Least Common Multiple of 8236 and 8241

LCM of 8236 and 8241 is 67872876

Least common multiple can be found by multiplying the highest exponent prime factors of 8236 and 8241. First we will calculate the prime factors of 8236 and 8241.

Prime Factorization of 8236


2 8236
2 4118
29 2059
71 71
1

Prime factors of 8236 are 2, 29,71. Prime factorization of 8236 in exponential form is:

8236 = 22×291×711

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 8236 and 8241.

LCM(8236,8241) = 22×31×291×411×671×711
LCM(8236,8241) = 67872876

Factors of 8236

List of positive integer factors of 8236 that divides 8236 without a remainder.

1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236

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 8236 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 8236 and 8241, than apply into the LCM equation.

GCF(8236,8241) = 1
LCM(8236,8241) = ( 8236 × 8241) / 1
LCM(8236,8241) = 67872876 / 1
LCM(8236,8241) = 67872876

Properties of LCM 8236 and 8241

(i) The LCM of 8241 and 8236 is associative

LCM of 8236 and 8241 = LCM of 8241 and 8236

Related Least Common Multiples of 8236

Related Least Common Multiples of 8241

Frequently Asked Questions on LCM of 8236 and 8241

1. What is the LCM of 8236 and 8241?

Answer: LCM of 8236 and 8241 is 67872876.

2. What are the Factors of 8236?

Answer: Factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236. There are 12 integers that are factors of 8236. The greatest factor of 8236 is 8236.

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 8236 and 8241?

Answer:

Least Common Multiple of 8236 and 8241 = 67872876

Step 1: Find the prime factorization of 8236

8236 = 2 x 2 x 29 x 71

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 = 67872876 = 2 x 2 x 3 x 29 x 41 x 67 x 71

Step 4: Therefore, the least common multiple of 8236 and 8241 is 67872876.