Least Common Multiple of 8336 and 8340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8336 and 8340 the smallest integer that is 17380560 that is divisible by both numbers.

Least Common Multiple (LCM) of 8336 and 8340 is 17380560.

LCM(8336,8340) = 17380560

LCM of 8336 and 8340

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

LCM of:
and

Least Common Multiple of 8336 and 8340

LCM of 8336 and 8340 is 17380560

Least common multiple can be found by multiplying the highest exponent prime factors of 8336 and 8340. First we will calculate the prime factors of 8336 and 8340.

Prime Factorization of 8336


2 8336
2 4168
2 2084
2 1042
521 521
1

Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:

8336 = 24×5211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8336 and 8340.

LCM(8336,8340) = 24×31×51×1391×5211
LCM(8336,8340) = 17380560

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336

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

Least Common Multiple of 8336 and 8340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8336 and 8340, than apply into the LCM equation.

GCF(8336,8340) = 4
LCM(8336,8340) = ( 8336 × 8340) / 4
LCM(8336,8340) = 69522240 / 4
LCM(8336,8340) = 17380560

Properties of LCM 8336 and 8340

(i) The LCM of 8340 and 8336 is associative

LCM of 8336 and 8340 = LCM of 8340 and 8336

Related Least Common Multiples of 8336

Related Least Common Multiples of 8340

Frequently Asked Questions on LCM of 8336 and 8340

1. What is the LCM of 8336 and 8340?

Answer: LCM of 8336 and 8340 is 17380560.

2. What are the Factors of 8336?

Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.

3. 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.

4. How to Find the LCM of 8336 and 8340?

Answer:

Least Common Multiple of 8336 and 8340 = 17380560

Step 1: Find the prime factorization of 8336

8336 = 2 x 2 x 2 x 2 x 521

Step 2: Find the prime factorization of 8340

8340 = 2 x 2 x 3 x 5 x 139

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

LCM = 17380560 = 2 x 2 x 2 x 2 x 3 x 5 x 139 x 521

Step 4: Therefore, the least common multiple of 8336 and 8340 is 17380560.