Least Common Multiple of 8243 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 8243 and 8248 the smallest integer that is 67988264 that is divisible by both numbers.

Least Common Multiple (LCM) of 8243 and 8248 is 67988264.

LCM(8243,8248) = 67988264

LCM of 8243 and 8248

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

LCM of:
and

Least Common Multiple of 8243 and 8248

LCM of 8243 and 8248 is 67988264

Least common multiple can be found by multiplying the highest exponent prime factors of 8243 and 8248. First we will calculate the prime factors of 8243 and 8248.

Prime Factorization of 8243


8243 8243
1

Prime factors of 8243 are 8243. Prime factorization of 8243 in exponential form is:

8243 = 82431

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 8243 and 8248.

LCM(8243,8248) = 23×10311×82431
LCM(8243,8248) = 67988264

Factors of 8243

List of positive integer factors of 8243 that divides 8243 without a remainder.

1, 8243

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 8243 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 8243 and 8248, than apply into the LCM equation.

GCF(8243,8248) = 1
LCM(8243,8248) = ( 8243 × 8248) / 1
LCM(8243,8248) = 67988264 / 1
LCM(8243,8248) = 67988264

Properties of LCM 8243 and 8248

(i) The LCM of 8248 and 8243 is associative

LCM of 8243 and 8248 = LCM of 8248 and 8243

Related Least Common Multiples of 8243

Related Least Common Multiples of 8248

Frequently Asked Questions on LCM of 8243 and 8248

1. What is the LCM of 8243 and 8248?

Answer: LCM of 8243 and 8248 is 67988264.

2. What are the Factors of 8243?

Answer: Factors of 8243 are 1, 8243. There are 2 integers that are factors of 8243. The greatest factor of 8243 is 8243.

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 8243 and 8248?

Answer:

Least Common Multiple of 8243 and 8248 = 67988264

Step 1: Find the prime factorization of 8243

8243 = 8243

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 = 67988264 = 2 x 2 x 2 x 1031 x 8243

Step 4: Therefore, the least common multiple of 8243 and 8248 is 67988264.