Least Common Multiple of 8242 and 8248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8242 and 8248 the smallest integer that is 33990008 that is divisible by both numbers.

Least Common Multiple (LCM) of 8242 and 8248 is 33990008.

LCM(8242,8248) = 33990008

LCM of 8242 and 8248

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

LCM of:
and

Least Common Multiple of 8242 and 8248

LCM of 8242 and 8248 is 33990008

Least common multiple can be found by multiplying the highest exponent prime factors of 8242 and 8248. First we will calculate the prime factors of 8242 and 8248.

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

Prime Factorization of 8248


2 8248
2 4124
2 2062
1031 1031
1

Prime factors of 8248 are 2,1031. Prime factorization of 8248 in exponential form is:

8248 = 23×10311

Now multiplying the highest exponent prime factors to calculate the LCM of 8242 and 8248.

LCM(8242,8248) = 23×131×3171×10311
LCM(8242,8248) = 33990008

Factors of 8242

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

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

Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1, 2, 4, 8, 1031, 2062, 4124, 8248

Least Common Multiple of 8242 and 8248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8242 and 8248, than apply into the LCM equation.

GCF(8242,8248) = 2
LCM(8242,8248) = ( 8242 × 8248) / 2
LCM(8242,8248) = 67980016 / 2
LCM(8242,8248) = 33990008

Properties of LCM 8242 and 8248

(i) The LCM of 8248 and 8242 is associative

LCM of 8242 and 8248 = LCM of 8248 and 8242

Related Least Common Multiples of 8242

Related Least Common Multiples of 8248

Frequently Asked Questions on LCM of 8242 and 8248

1. What is the LCM of 8242 and 8248?

Answer: LCM of 8242 and 8248 is 33990008.

2. 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.

3. What are the Factors of 8248?

Answer: Factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248. There are 8 integers that are factors of 8248. The greatest factor of 8248 is 8248.

4. How to Find the LCM of 8242 and 8248?

Answer:

Least Common Multiple of 8242 and 8248 = 33990008

Step 1: Find the prime factorization of 8242

8242 = 2 x 13 x 317

Step 2: Find the prime factorization of 8248

8248 = 2 x 2 x 2 x 1031

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

LCM = 33990008 = 2 x 2 x 2 x 13 x 317 x 1031

Step 4: Therefore, the least common multiple of 8242 and 8248 is 33990008.