Least Common Multiple of 8347 and 8354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8347 and 8354 the smallest integer that is 69730838 that is divisible by both numbers.

Least Common Multiple (LCM) of 8347 and 8354 is 69730838.

LCM(8347,8354) = 69730838

LCM of 8347 and 8354

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

LCM of:
and

Least Common Multiple of 8347 and 8354

LCM of 8347 and 8354 is 69730838

Least common multiple can be found by multiplying the highest exponent prime factors of 8347 and 8354. First we will calculate the prime factors of 8347 and 8354.

Prime Factorization of 8347


17 8347
491 491
1

Prime factors of 8347 are 17,491. Prime factorization of 8347 in exponential form is:

8347 = 171×4911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8347 and 8354.

LCM(8347,8354) = 21×171×4911×41771
LCM(8347,8354) = 69730838

Factors of 8347

List of positive integer factors of 8347 that divides 8347 without a remainder.

1, 17, 491, 8347

Factors of 8354

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

1, 2, 4177, 8354

Least Common Multiple of 8347 and 8354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8347 and 8354, than apply into the LCM equation.

GCF(8347,8354) = 1
LCM(8347,8354) = ( 8347 × 8354) / 1
LCM(8347,8354) = 69730838 / 1
LCM(8347,8354) = 69730838

Properties of LCM 8347 and 8354

(i) The LCM of 8354 and 8347 is associative

LCM of 8347 and 8354 = LCM of 8354 and 8347

Related Least Common Multiples of 8347

Related Least Common Multiples of 8354

Frequently Asked Questions on LCM of 8347 and 8354

1. What is the LCM of 8347 and 8354?

Answer: LCM of 8347 and 8354 is 69730838.

2. What are the Factors of 8347?

Answer: Factors of 8347 are 1, 17, 491, 8347. There are 4 integers that are factors of 8347. The greatest factor of 8347 is 8347.

3. 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.

4. How to Find the LCM of 8347 and 8354?

Answer:

Least Common Multiple of 8347 and 8354 = 69730838

Step 1: Find the prime factorization of 8347

8347 = 17 x 491

Step 2: Find the prime factorization of 8354

8354 = 2 x 4177

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

LCM = 69730838 = 2 x 17 x 491 x 4177

Step 4: Therefore, the least common multiple of 8347 and 8354 is 69730838.