Least Common Multiple of 8231 and 8235

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 8235 the smallest integer that is 67782285 that is divisible by both numbers.

Least Common Multiple (LCM) of 8231 and 8235 is 67782285.

LCM(8231,8235) = 67782285

LCM of 8231 and 8235

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

LCM of:
and

Least Common Multiple of 8231 and 8235

LCM of 8231 and 8235 is 67782285

Least common multiple can be found by multiplying the highest exponent prime factors of 8231 and 8235. First we will calculate the prime factors of 8231 and 8235.

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 8235


3 8235
3 2745
3 915
5 305
61 61
1

Prime factors of 8235 are 3, 5,61. Prime factorization of 8235 in exponential form is:

8235 = 33×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 8231 and 8235.

LCM(8231,8235) = 33×51×611×82311
LCM(8231,8235) = 67782285

Factors of 8231

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

1, 8231

Factors of 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235

Least Common Multiple of 8231 and 8235 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 8235, than apply into the LCM equation.

GCF(8231,8235) = 1
LCM(8231,8235) = ( 8231 × 8235) / 1
LCM(8231,8235) = 67782285 / 1
LCM(8231,8235) = 67782285

Properties of LCM 8231 and 8235

(i) The LCM of 8235 and 8231 is associative

LCM of 8231 and 8235 = LCM of 8235 and 8231

Related Least Common Multiples of 8231

Related Least Common Multiples of 8235

Frequently Asked Questions on LCM of 8231 and 8235

1. What is the LCM of 8231 and 8235?

Answer: LCM of 8231 and 8235 is 67782285.

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 8235?

Answer: Factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235. There are 16 integers that are factors of 8235. The greatest factor of 8235 is 8235.

4. How to Find the LCM of 8231 and 8235?

Answer:

Least Common Multiple of 8231 and 8235 = 67782285

Step 1: Find the prime factorization of 8231

8231 = 8231

Step 2: Find the prime factorization of 8235

8235 = 3 x 3 x 3 x 5 x 61

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

LCM = 67782285 = 3 x 3 x 3 x 5 x 61 x 8231

Step 4: Therefore, the least common multiple of 8231 and 8235 is 67782285.