Least Common Multiple of 8231 and 8236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8231 and 8236 the smallest integer that is 67790516 that is divisible by both numbers.

Least Common Multiple (LCM) of 8231 and 8236 is 67790516.

LCM(8231,8236) = 67790516

LCM of 8231 and 8236

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

LCM of:
and

Least Common Multiple of 8231 and 8236

LCM of 8231 and 8236 is 67790516

Least common multiple can be found by multiplying the highest exponent prime factors of 8231 and 8236. First we will calculate the prime factors of 8231 and 8236.

Prime Factorization of 8231


8231 8231
1

Prime factors of 8231 are 8231. Prime factorization of 8231 in exponential form is:

8231 = 82311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8231 and 8236.

LCM(8231,8236) = 22×291×711×82311
LCM(8231,8236) = 67790516

Factors of 8231

List of positive integer factors of 8231 that divides 8231 without a remainder.

1, 8231

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

Least Common Multiple of 8231 and 8236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8231 and 8236, than apply into the LCM equation.

GCF(8231,8236) = 1
LCM(8231,8236) = ( 8231 × 8236) / 1
LCM(8231,8236) = 67790516 / 1
LCM(8231,8236) = 67790516

Properties of LCM 8231 and 8236

(i) The LCM of 8236 and 8231 is associative

LCM of 8231 and 8236 = LCM of 8236 and 8231

Related Least Common Multiples of 8231

Related Least Common Multiples of 8236

Frequently Asked Questions on LCM of 8231 and 8236

1. What is the LCM of 8231 and 8236?

Answer: LCM of 8231 and 8236 is 67790516.

2. What are the Factors of 8231?

Answer: Factors of 8231 are 1, 8231. There are 2 integers that are factors of 8231. The greatest factor of 8231 is 8231.

3. 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.

4. How to Find the LCM of 8231 and 8236?

Answer:

Least Common Multiple of 8231 and 8236 = 67790516

Step 1: Find the prime factorization of 8231

8231 = 8231

Step 2: Find the prime factorization of 8236

8236 = 2 x 2 x 29 x 71

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

LCM = 67790516 = 2 x 2 x 29 x 71 x 8231

Step 4: Therefore, the least common multiple of 8231 and 8236 is 67790516.