Least Common Multiple of 8344 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 8344 and 8351 the smallest integer that is 9954392 that is divisible by both numbers.

Least Common Multiple (LCM) of 8344 and 8351 is 9954392.

LCM(8344,8351) = 9954392

LCM of 8344 and 8351

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

LCM of:
and

Least Common Multiple of 8344 and 8351

LCM of 8344 and 8351 is 9954392

Least common multiple can be found by multiplying the highest exponent prime factors of 8344 and 8351. First we will calculate the prime factors of 8344 and 8351.

Prime Factorization of 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2, 7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

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 8344 and 8351.

LCM(8344,8351) = 23×71×1491×11931
LCM(8344,8351) = 9954392

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344

Factors of 8351

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

1, 7, 1193, 8351

Least Common Multiple of 8344 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 8344 and 8351, than apply into the LCM equation.

GCF(8344,8351) = 7
LCM(8344,8351) = ( 8344 × 8351) / 7
LCM(8344,8351) = 69680744 / 7
LCM(8344,8351) = 9954392

Properties of LCM 8344 and 8351

(i) The LCM of 8351 and 8344 is associative

LCM of 8344 and 8351 = LCM of 8351 and 8344

Related Least Common Multiples of 8344

Related Least Common Multiples of 8351

Frequently Asked Questions on LCM of 8344 and 8351

1. What is the LCM of 8344 and 8351?

Answer: LCM of 8344 and 8351 is 9954392.

2. What are the Factors of 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

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 8344 and 8351?

Answer:

Least Common Multiple of 8344 and 8351 = 9954392

Step 1: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

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 = 9954392 = 2 x 2 x 2 x 7 x 149 x 1193

Step 4: Therefore, the least common multiple of 8344 and 8351 is 9954392.