Least Common Multiple of 8243 and 8251

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 8251 the smallest integer that is 68012993 that is divisible by both numbers.

Least Common Multiple (LCM) of 8243 and 8251 is 68012993.

LCM(8243,8251) = 68012993

LCM of 8243 and 8251

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

LCM of:
and

Least Common Multiple of 8243 and 8251

LCM of 8243 and 8251 is 68012993

Least common multiple can be found by multiplying the highest exponent prime factors of 8243 and 8251. First we will calculate the prime factors of 8243 and 8251.

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 8251


37 8251
223 223
1

Prime factors of 8251 are 37,223. Prime factorization of 8251 in exponential form is:

8251 = 371×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 8243 and 8251.

LCM(8243,8251) = 371×2231×82431
LCM(8243,8251) = 68012993

Factors of 8243

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

1, 8243

Factors of 8251

List of positive integer factors of 8251 that divides 8251 without a remainder.

1, 37, 223, 8251

Least Common Multiple of 8243 and 8251 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 8251, than apply into the LCM equation.

GCF(8243,8251) = 1
LCM(8243,8251) = ( 8243 × 8251) / 1
LCM(8243,8251) = 68012993 / 1
LCM(8243,8251) = 68012993

Properties of LCM 8243 and 8251

(i) The LCM of 8251 and 8243 is associative

LCM of 8243 and 8251 = LCM of 8251 and 8243

Related Least Common Multiples of 8243

Related Least Common Multiples of 8251

Frequently Asked Questions on LCM of 8243 and 8251

1. What is the LCM of 8243 and 8251?

Answer: LCM of 8243 and 8251 is 68012993.

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 8251?

Answer: Factors of 8251 are 1, 37, 223, 8251. There are 4 integers that are factors of 8251. The greatest factor of 8251 is 8251.

4. How to Find the LCM of 8243 and 8251?

Answer:

Least Common Multiple of 8243 and 8251 = 68012993

Step 1: Find the prime factorization of 8243

8243 = 8243

Step 2: Find the prime factorization of 8251

8251 = 37 x 223

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

LCM = 68012993 = 37 x 223 x 8243

Step 4: Therefore, the least common multiple of 8243 and 8251 is 68012993.