Least Common Multiple of 8443 and 8451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8443 and 8451 the smallest integer that is 71351793 that is divisible by both numbers.

Least Common Multiple (LCM) of 8443 and 8451 is 71351793.

LCM(8443,8451) = 71351793

LCM of 8443 and 8451

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

LCM of:
and

Least Common Multiple of 8443 and 8451

LCM of 8443 and 8451 is 71351793

Least common multiple can be found by multiplying the highest exponent prime factors of 8443 and 8451. First we will calculate the prime factors of 8443 and 8451.

Prime Factorization of 8443


8443 8443
1

Prime factors of 8443 are 8443. Prime factorization of 8443 in exponential form is:

8443 = 84431

Prime Factorization of 8451


3 8451
3 2817
3 939
313 313
1

Prime factors of 8451 are 3,313. Prime factorization of 8451 in exponential form is:

8451 = 33×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 8443 and 8451.

LCM(8443,8451) = 33×3131×84431
LCM(8443,8451) = 71351793

Factors of 8443

List of positive integer factors of 8443 that divides 8443 without a remainder.

1, 8443

Factors of 8451

List of positive integer factors of 8451 that divides 8451 without a remainder.

1, 3, 9, 27, 313, 939, 2817, 8451

Least Common Multiple of 8443 and 8451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8443 and 8451, than apply into the LCM equation.

GCF(8443,8451) = 1
LCM(8443,8451) = ( 8443 × 8451) / 1
LCM(8443,8451) = 71351793 / 1
LCM(8443,8451) = 71351793

Properties of LCM 8443 and 8451

(i) The LCM of 8451 and 8443 is associative

LCM of 8443 and 8451 = LCM of 8451 and 8443

Related Least Common Multiples of 8443

Related Least Common Multiples of 8451

Frequently Asked Questions on LCM of 8443 and 8451

1. What is the LCM of 8443 and 8451?

Answer: LCM of 8443 and 8451 is 71351793.

2. What are the Factors of 8443?

Answer: Factors of 8443 are 1, 8443. There are 2 integers that are factors of 8443. The greatest factor of 8443 is 8443.

3. What are the Factors of 8451?

Answer: Factors of 8451 are 1, 3, 9, 27, 313, 939, 2817, 8451. There are 8 integers that are factors of 8451. The greatest factor of 8451 is 8451.

4. How to Find the LCM of 8443 and 8451?

Answer:

Least Common Multiple of 8443 and 8451 = 71351793

Step 1: Find the prime factorization of 8443

8443 = 8443

Step 2: Find the prime factorization of 8451

8451 = 3 x 3 x 3 x 313

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

LCM = 71351793 = 3 x 3 x 3 x 313 x 8443

Step 4: Therefore, the least common multiple of 8443 and 8451 is 71351793.