Least Common Multiple of 8348 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 8348 and 8354 the smallest integer that is 34869596 that is divisible by both numbers.

Least Common Multiple (LCM) of 8348 and 8354 is 34869596.

LCM(8348,8354) = 34869596

LCM of 8348 and 8354

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

LCM of:
and

Least Common Multiple of 8348 and 8354

LCM of 8348 and 8354 is 34869596

Least common multiple can be found by multiplying the highest exponent prime factors of 8348 and 8354. First we will calculate the prime factors of 8348 and 8354.

Prime Factorization of 8348


2 8348
2 4174
2087 2087
1

Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:

8348 = 22×20871

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 8348 and 8354.

LCM(8348,8354) = 22×20871×41771
LCM(8348,8354) = 34869596

Factors of 8348

List of positive integer factors of 8348 that divides 8348 without a remainder.

1, 2, 4, 2087, 4174, 8348

Factors of 8354

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

1, 2, 4177, 8354

Least Common Multiple of 8348 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 8348 and 8354, than apply into the LCM equation.

GCF(8348,8354) = 2
LCM(8348,8354) = ( 8348 × 8354) / 2
LCM(8348,8354) = 69739192 / 2
LCM(8348,8354) = 34869596

Properties of LCM 8348 and 8354

(i) The LCM of 8354 and 8348 is associative

LCM of 8348 and 8354 = LCM of 8354 and 8348

Related Least Common Multiples of 8348

Related Least Common Multiples of 8354

Frequently Asked Questions on LCM of 8348 and 8354

1. What is the LCM of 8348 and 8354?

Answer: LCM of 8348 and 8354 is 34869596.

2. What are the Factors of 8348?

Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.

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 8348 and 8354?

Answer:

Least Common Multiple of 8348 and 8354 = 34869596

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

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 = 34869596 = 2 x 2 x 2087 x 4177

Step 4: Therefore, the least common multiple of 8348 and 8354 is 34869596.