Least Common Multiple of 8242 and 8247

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 8247 the smallest integer that is 67971774 that is divisible by both numbers.

Least Common Multiple (LCM) of 8242 and 8247 is 67971774.

LCM(8242,8247) = 67971774

LCM of 8242 and 8247

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

LCM of:
and

Least Common Multiple of 8242 and 8247

LCM of 8242 and 8247 is 67971774

Least common multiple can be found by multiplying the highest exponent prime factors of 8242 and 8247. First we will calculate the prime factors of 8242 and 8247.

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 8247


3 8247
2749 2749
1

Prime factors of 8247 are 3,2749. Prime factorization of 8247 in exponential form is:

8247 = 31×27491

Now multiplying the highest exponent prime factors to calculate the LCM of 8242 and 8247.

LCM(8242,8247) = 21×31×131×3171×27491
LCM(8242,8247) = 67971774

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 8247

List of positive integer factors of 8247 that divides 8247 without a remainder.

1, 3, 2749, 8247

Least Common Multiple of 8242 and 8247 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 8247, than apply into the LCM equation.

GCF(8242,8247) = 1
LCM(8242,8247) = ( 8242 × 8247) / 1
LCM(8242,8247) = 67971774 / 1
LCM(8242,8247) = 67971774

Properties of LCM 8242 and 8247

(i) The LCM of 8247 and 8242 is associative

LCM of 8242 and 8247 = LCM of 8247 and 8242

Related Least Common Multiples of 8242

Related Least Common Multiples of 8247

Frequently Asked Questions on LCM of 8242 and 8247

1. What is the LCM of 8242 and 8247?

Answer: LCM of 8242 and 8247 is 67971774.

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 8247?

Answer: Factors of 8247 are 1, 3, 2749, 8247. There are 4 integers that are factors of 8247. The greatest factor of 8247 is 8247.

4. How to Find the LCM of 8242 and 8247?

Answer:

Least Common Multiple of 8242 and 8247 = 67971774

Step 1: Find the prime factorization of 8242

8242 = 2 x 13 x 317

Step 2: Find the prime factorization of 8247

8247 = 3 x 2749

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

LCM = 67971774 = 2 x 3 x 13 x 317 x 2749

Step 4: Therefore, the least common multiple of 8242 and 8247 is 67971774.