Least Common Multiple of 8340 and 8344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8340 and 8344 the smallest integer that is 17397240 that is divisible by both numbers.

Least Common Multiple (LCM) of 8340 and 8344 is 17397240.

LCM(8340,8344) = 17397240

LCM of 8340 and 8344

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

LCM of:
and

Least Common Multiple of 8340 and 8344

LCM of 8340 and 8344 is 17397240

Least common multiple can be found by multiplying the highest exponent prime factors of 8340 and 8344. First we will calculate the prime factors of 8340 and 8344.

Prime Factorization of 8340


2 8340
2 4170
3 2085
5 695
139 139
1

Prime factors of 8340 are 2, 3, 5,139. Prime factorization of 8340 in exponential form is:

8340 = 22×31×51×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8340 and 8344.

LCM(8340,8344) = 23×31×51×71×1391×1491
LCM(8340,8344) = 17397240

Factors of 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340

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

Least Common Multiple of 8340 and 8344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8340 and 8344, than apply into the LCM equation.

GCF(8340,8344) = 4
LCM(8340,8344) = ( 8340 × 8344) / 4
LCM(8340,8344) = 69588960 / 4
LCM(8340,8344) = 17397240

Properties of LCM 8340 and 8344

(i) The LCM of 8344 and 8340 is associative

LCM of 8340 and 8344 = LCM of 8344 and 8340

Related Least Common Multiples of 8340

Related Least Common Multiples of 8344

Frequently Asked Questions on LCM of 8340 and 8344

1. What is the LCM of 8340 and 8344?

Answer: LCM of 8340 and 8344 is 17397240.

2. What are the Factors of 8340?

Answer: Factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340. There are 24 integers that are factors of 8340. The greatest factor of 8340 is 8340.

3. 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.

4. How to Find the LCM of 8340 and 8344?

Answer:

Least Common Multiple of 8340 and 8344 = 17397240

Step 1: Find the prime factorization of 8340

8340 = 2 x 2 x 3 x 5 x 139

Step 2: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

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

LCM = 17397240 = 2 x 2 x 2 x 3 x 5 x 7 x 139 x 149

Step 4: Therefore, the least common multiple of 8340 and 8344 is 17397240.