Least Common Multiple of 8235 and 8242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8235 and 8242 the smallest integer that is 67872870 that is divisible by both numbers.

Least Common Multiple (LCM) of 8235 and 8242 is 67872870.

LCM(8235,8242) = 67872870

LCM of 8235 and 8242

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

LCM of:
and

Least Common Multiple of 8235 and 8242

LCM of 8235 and 8242 is 67872870

Least common multiple can be found by multiplying the highest exponent prime factors of 8235 and 8242. First we will calculate the prime factors of 8235 and 8242.

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

Prime Factorization of 8242


2 8242
13 4121
317 317
1

Prime factors of 8242 are 2, 13,317. Prime factorization of 8242 in exponential form is:

8242 = 21×131×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 8235 and 8242.

LCM(8235,8242) = 21×33×51×131×611×3171
LCM(8235,8242) = 67872870

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

Factors of 8242

List of positive integer factors of 8242 that divides 8242 without a remainder.

1, 2, 13, 26, 317, 634, 4121, 8242

Least Common Multiple of 8235 and 8242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8235 and 8242, than apply into the LCM equation.

GCF(8235,8242) = 1
LCM(8235,8242) = ( 8235 × 8242) / 1
LCM(8235,8242) = 67872870 / 1
LCM(8235,8242) = 67872870

Properties of LCM 8235 and 8242

(i) The LCM of 8242 and 8235 is associative

LCM of 8235 and 8242 = LCM of 8242 and 8235

Related Least Common Multiples of 8235

Related Least Common Multiples of 8242

Frequently Asked Questions on LCM of 8235 and 8242

1. What is the LCM of 8235 and 8242?

Answer: LCM of 8235 and 8242 is 67872870.

2. 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.

3. What are the Factors of 8242?

Answer: Factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242. There are 8 integers that are factors of 8242. The greatest factor of 8242 is 8242.

4. How to Find the LCM of 8235 and 8242?

Answer:

Least Common Multiple of 8235 and 8242 = 67872870

Step 1: Find the prime factorization of 8235

8235 = 3 x 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 8242

8242 = 2 x 13 x 317

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

LCM = 67872870 = 2 x 3 x 3 x 3 x 5 x 13 x 61 x 317

Step 4: Therefore, the least common multiple of 8235 and 8242 is 67872870.