Least Common Multiple of 8348 and 8351

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 8351 the smallest integer that is 69714148 that is divisible by both numbers.

Least Common Multiple (LCM) of 8348 and 8351 is 69714148.

LCM(8348,8351) = 69714148

LCM of 8348 and 8351

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

LCM of:
and

Least Common Multiple of 8348 and 8351

LCM of 8348 and 8351 is 69714148

Least common multiple can be found by multiplying the highest exponent prime factors of 8348 and 8351. First we will calculate the prime factors of 8348 and 8351.

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 8351


7 8351
1193 1193
1

Prime factors of 8351 are 7,1193. Prime factorization of 8351 in exponential form is:

8351 = 71×11931

Now multiplying the highest exponent prime factors to calculate the LCM of 8348 and 8351.

LCM(8348,8351) = 22×71×11931×20871
LCM(8348,8351) = 69714148

Factors of 8348

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

1, 2, 4, 2087, 4174, 8348

Factors of 8351

List of positive integer factors of 8351 that divides 8351 without a remainder.

1, 7, 1193, 8351

Least Common Multiple of 8348 and 8351 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 8351, than apply into the LCM equation.

GCF(8348,8351) = 1
LCM(8348,8351) = ( 8348 × 8351) / 1
LCM(8348,8351) = 69714148 / 1
LCM(8348,8351) = 69714148

Properties of LCM 8348 and 8351

(i) The LCM of 8351 and 8348 is associative

LCM of 8348 and 8351 = LCM of 8351 and 8348

Frequently Asked Questions on LCM of 8348 and 8351

1. What is the LCM of 8348 and 8351?

Answer: LCM of 8348 and 8351 is 69714148.

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 8351?

Answer: Factors of 8351 are 1, 7, 1193, 8351. There are 4 integers that are factors of 8351. The greatest factor of 8351 is 8351.

4. How to Find the LCM of 8348 and 8351?

Answer:

Least Common Multiple of 8348 and 8351 = 69714148

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

Step 2: Find the prime factorization of 8351

8351 = 7 x 1193

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

LCM = 69714148 = 2 x 2 x 7 x 1193 x 2087

Step 4: Therefore, the least common multiple of 8348 and 8351 is 69714148.