Least Common Multiple of 8340 and 8345

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 8345 the smallest integer that is 13919460 that is divisible by both numbers.

Least Common Multiple (LCM) of 8340 and 8345 is 13919460.

LCM(8340,8345) = 13919460

LCM of 8340 and 8345

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

LCM of:
and

Least Common Multiple of 8340 and 8345

LCM of 8340 and 8345 is 13919460

Least common multiple can be found by multiplying the highest exponent prime factors of 8340 and 8345. First we will calculate the prime factors of 8340 and 8345.

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 8345


5 8345
1669 1669
1

Prime factors of 8345 are 5,1669. Prime factorization of 8345 in exponential form is:

8345 = 51×16691

Now multiplying the highest exponent prime factors to calculate the LCM of 8340 and 8345.

LCM(8340,8345) = 22×31×51×1391×16691
LCM(8340,8345) = 13919460

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 8345

List of positive integer factors of 8345 that divides 8345 without a remainder.

1, 5, 1669, 8345

Least Common Multiple of 8340 and 8345 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 8345, than apply into the LCM equation.

GCF(8340,8345) = 5
LCM(8340,8345) = ( 8340 × 8345) / 5
LCM(8340,8345) = 69597300 / 5
LCM(8340,8345) = 13919460

Properties of LCM 8340 and 8345

(i) The LCM of 8345 and 8340 is associative

LCM of 8340 and 8345 = LCM of 8345 and 8340

Related Least Common Multiples of 8340

Related Least Common Multiples of 8345

Frequently Asked Questions on LCM of 8340 and 8345

1. What is the LCM of 8340 and 8345?

Answer: LCM of 8340 and 8345 is 13919460.

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 8345?

Answer: Factors of 8345 are 1, 5, 1669, 8345. There are 4 integers that are factors of 8345. The greatest factor of 8345 is 8345.

4. How to Find the LCM of 8340 and 8345?

Answer:

Least Common Multiple of 8340 and 8345 = 13919460

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 8345

8345 = 5 x 1669

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

LCM = 13919460 = 2 x 2 x 3 x 5 x 139 x 1669

Step 4: Therefore, the least common multiple of 8340 and 8345 is 13919460.