Least Common Multiple of 8397 and 8402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8397 and 8402 the smallest integer that is 70551594 that is divisible by both numbers.

Least Common Multiple (LCM) of 8397 and 8402 is 70551594.

LCM(8397,8402) = 70551594

LCM of 8397 and 8402

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

LCM of:
and

Least Common Multiple of 8397 and 8402

LCM of 8397 and 8402 is 70551594

Least common multiple can be found by multiplying the highest exponent prime factors of 8397 and 8402. First we will calculate the prime factors of 8397 and 8402.

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

Prime Factorization of 8402


2 8402
4201 4201
1

Prime factors of 8402 are 2,4201. Prime factorization of 8402 in exponential form is:

8402 = 21×42011

Now multiplying the highest exponent prime factors to calculate the LCM of 8397 and 8402.

LCM(8397,8402) = 21×33×3111×42011
LCM(8397,8402) = 70551594

Factors of 8397

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

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

Factors of 8402

List of positive integer factors of 8402 that divides 8402 without a remainder.

1, 2, 4201, 8402

Least Common Multiple of 8397 and 8402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8397 and 8402, than apply into the LCM equation.

GCF(8397,8402) = 1
LCM(8397,8402) = ( 8397 × 8402) / 1
LCM(8397,8402) = 70551594 / 1
LCM(8397,8402) = 70551594

Properties of LCM 8397 and 8402

(i) The LCM of 8402 and 8397 is associative

LCM of 8397 and 8402 = LCM of 8402 and 8397

Related Least Common Multiples of 8397

Related Least Common Multiples of 8402

Frequently Asked Questions on LCM of 8397 and 8402

1. What is the LCM of 8397 and 8402?

Answer: LCM of 8397 and 8402 is 70551594.

2. 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.

3. What are the Factors of 8402?

Answer: Factors of 8402 are 1, 2, 4201, 8402. There are 4 integers that are factors of 8402. The greatest factor of 8402 is 8402.

4. How to Find the LCM of 8397 and 8402?

Answer:

Least Common Multiple of 8397 and 8402 = 70551594

Step 1: Find the prime factorization of 8397

8397 = 3 x 3 x 3 x 311

Step 2: Find the prime factorization of 8402

8402 = 2 x 4201

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

LCM = 70551594 = 2 x 3 x 3 x 3 x 311 x 4201

Step 4: Therefore, the least common multiple of 8397 and 8402 is 70551594.