Least Common Multiple of 8340 and 8348

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 8348 the smallest integer that is 17405580 that is divisible by both numbers.

Least Common Multiple (LCM) of 8340 and 8348 is 17405580.

LCM(8340,8348) = 17405580

LCM of 8340 and 8348

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

LCM of:
and

Least Common Multiple of 8340 and 8348

LCM of 8340 and 8348 is 17405580

Least common multiple can be found by multiplying the highest exponent prime factors of 8340 and 8348. First we will calculate the prime factors of 8340 and 8348.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8340 and 8348.

LCM(8340,8348) = 22×31×51×1391×20871
LCM(8340,8348) = 17405580

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 8348

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

1, 2, 4, 2087, 4174, 8348

Least Common Multiple of 8340 and 8348 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 8348, than apply into the LCM equation.

GCF(8340,8348) = 4
LCM(8340,8348) = ( 8340 × 8348) / 4
LCM(8340,8348) = 69622320 / 4
LCM(8340,8348) = 17405580

Properties of LCM 8340 and 8348

(i) The LCM of 8348 and 8340 is associative

LCM of 8340 and 8348 = LCM of 8348 and 8340

Related Least Common Multiples of 8340

Related Least Common Multiples of 8348

Frequently Asked Questions on LCM of 8340 and 8348

1. What is the LCM of 8340 and 8348?

Answer: LCM of 8340 and 8348 is 17405580.

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 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.

4. How to Find the LCM of 8340 and 8348?

Answer:

Least Common Multiple of 8340 and 8348 = 17405580

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 8348

8348 = 2 x 2 x 2087

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

LCM = 17405580 = 2 x 2 x 3 x 5 x 139 x 2087

Step 4: Therefore, the least common multiple of 8340 and 8348 is 17405580.