Least Common Multiple of 8392 and 8397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8392 and 8397 the smallest integer that is 70467624 that is divisible by both numbers.

Least Common Multiple (LCM) of 8392 and 8397 is 70467624.

LCM(8392,8397) = 70467624

LCM of 8392 and 8397

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

LCM of:
and

Least Common Multiple of 8392 and 8397

LCM of 8392 and 8397 is 70467624

Least common multiple can be found by multiplying the highest exponent prime factors of 8392 and 8397. First we will calculate the prime factors of 8392 and 8397.

Prime Factorization of 8392


2 8392
2 4196
2 2098
1049 1049
1

Prime factors of 8392 are 2,1049. Prime factorization of 8392 in exponential form is:

8392 = 23×10491

Prime Factorization of 8397


3 8397
3 2799
3 933
311 311
1

Prime factors of 8397 are 3,311. Prime factorization of 8397 in exponential form is:

8397 = 33×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 8392 and 8397.

LCM(8392,8397) = 23×33×3111×10491
LCM(8392,8397) = 70467624

Factors of 8392

List of positive integer factors of 8392 that divides 8392 without a remainder.

1, 2, 4, 8, 1049, 2098, 4196, 8392

Factors of 8397

List of positive integer factors of 8397 that divides 8397 without a remainder.

1, 3, 9, 27, 311, 933, 2799, 8397

Least Common Multiple of 8392 and 8397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8392 and 8397, than apply into the LCM equation.

GCF(8392,8397) = 1
LCM(8392,8397) = ( 8392 × 8397) / 1
LCM(8392,8397) = 70467624 / 1
LCM(8392,8397) = 70467624

Properties of LCM 8392 and 8397

(i) The LCM of 8397 and 8392 is associative

LCM of 8392 and 8397 = LCM of 8397 and 8392

Related Least Common Multiples of 8392

Related Least Common Multiples of 8397

Frequently Asked Questions on LCM of 8392 and 8397

1. What is the LCM of 8392 and 8397?

Answer: LCM of 8392 and 8397 is 70467624.

2. What are the Factors of 8392?

Answer: Factors of 8392 are 1, 2, 4, 8, 1049, 2098, 4196, 8392. There are 8 integers that are factors of 8392. The greatest factor of 8392 is 8392.

3. What are the Factors of 8397?

Answer: Factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397. There are 8 integers that are factors of 8397. The greatest factor of 8397 is 8397.

4. How to Find the LCM of 8392 and 8397?

Answer:

Least Common Multiple of 8392 and 8397 = 70467624

Step 1: Find the prime factorization of 8392

8392 = 2 x 2 x 2 x 1049

Step 2: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

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

LCM = 70467624 = 2 x 2 x 2 x 3 x 3 x 3 x 311 x 1049

Step 4: Therefore, the least common multiple of 8392 and 8397 is 70467624.