Least Common Multiple of 8348 and 8349

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 8349 the smallest integer that is 69697452 that is divisible by both numbers.

Least Common Multiple (LCM) of 8348 and 8349 is 69697452.

LCM(8348,8349) = 69697452

LCM of 8348 and 8349

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

LCM of:
and

Least Common Multiple of 8348 and 8349

LCM of 8348 and 8349 is 69697452

Least common multiple can be found by multiplying the highest exponent prime factors of 8348 and 8349. First we will calculate the prime factors of 8348 and 8349.

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 8349


3 8349
11 2783
11 253
23 23
1

Prime factors of 8349 are 3, 11,23. Prime factorization of 8349 in exponential form is:

8349 = 31×112×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8348 and 8349.

LCM(8348,8349) = 22×31×112×231×20871
LCM(8348,8349) = 69697452

Factors of 8348

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

1, 2, 4, 2087, 4174, 8348

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349

Least Common Multiple of 8348 and 8349 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 8349, than apply into the LCM equation.

GCF(8348,8349) = 1
LCM(8348,8349) = ( 8348 × 8349) / 1
LCM(8348,8349) = 69697452 / 1
LCM(8348,8349) = 69697452

Properties of LCM 8348 and 8349

(i) The LCM of 8349 and 8348 is associative

LCM of 8348 and 8349 = LCM of 8349 and 8348

Related Least Common Multiples of 8348

Related Least Common Multiples of 8349

Frequently Asked Questions on LCM of 8348 and 8349

1. What is the LCM of 8348 and 8349?

Answer: LCM of 8348 and 8349 is 69697452.

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 8349?

Answer: Factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349. There are 12 integers that are factors of 8349. The greatest factor of 8349 is 8349.

4. How to Find the LCM of 8348 and 8349?

Answer:

Least Common Multiple of 8348 and 8349 = 69697452

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

Step 2: Find the prime factorization of 8349

8349 = 3 x 11 x 11 x 23

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

LCM = 69697452 = 2 x 2 x 3 x 11 x 11 x 23 x 2087

Step 4: Therefore, the least common multiple of 8348 and 8349 is 69697452.