Least Common Multiple of 8354 and 8361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8354 and 8361 the smallest integer that is 69847794 that is divisible by both numbers.

Least Common Multiple (LCM) of 8354 and 8361 is 69847794.

LCM(8354,8361) = 69847794

LCM of 8354 and 8361

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

LCM of:
and

Least Common Multiple of 8354 and 8361

LCM of 8354 and 8361 is 69847794

Least common multiple can be found by multiplying the highest exponent prime factors of 8354 and 8361. First we will calculate the prime factors of 8354 and 8361.

Prime Factorization of 8354


2 8354
4177 4177
1

Prime factors of 8354 are 2,4177. Prime factorization of 8354 in exponential form is:

8354 = 21×41771

Prime Factorization of 8361


3 8361
3 2787
929 929
1

Prime factors of 8361 are 3,929. Prime factorization of 8361 in exponential form is:

8361 = 32×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 8354 and 8361.

LCM(8354,8361) = 21×32×9291×41771
LCM(8354,8361) = 69847794

Factors of 8354

List of positive integer factors of 8354 that divides 8354 without a remainder.

1, 2, 4177, 8354

Factors of 8361

List of positive integer factors of 8361 that divides 8361 without a remainder.

1, 3, 9, 929, 2787, 8361

Least Common Multiple of 8354 and 8361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8354 and 8361, than apply into the LCM equation.

GCF(8354,8361) = 1
LCM(8354,8361) = ( 8354 × 8361) / 1
LCM(8354,8361) = 69847794 / 1
LCM(8354,8361) = 69847794

Properties of LCM 8354 and 8361

(i) The LCM of 8361 and 8354 is associative

LCM of 8354 and 8361 = LCM of 8361 and 8354

Related Least Common Multiples of 8354

Related Least Common Multiples of 8361

Frequently Asked Questions on LCM of 8354 and 8361

1. What is the LCM of 8354 and 8361?

Answer: LCM of 8354 and 8361 is 69847794.

2. What are the Factors of 8354?

Answer: Factors of 8354 are 1, 2, 4177, 8354. There are 4 integers that are factors of 8354. The greatest factor of 8354 is 8354.

3. What are the Factors of 8361?

Answer: Factors of 8361 are 1, 3, 9, 929, 2787, 8361. There are 6 integers that are factors of 8361. The greatest factor of 8361 is 8361.

4. How to Find the LCM of 8354 and 8361?

Answer:

Least Common Multiple of 8354 and 8361 = 69847794

Step 1: Find the prime factorization of 8354

8354 = 2 x 4177

Step 2: Find the prime factorization of 8361

8361 = 3 x 3 x 929

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

LCM = 69847794 = 2 x 3 x 3 x 929 x 4177

Step 4: Therefore, the least common multiple of 8354 and 8361 is 69847794.