Least Common Multiple of 8332 and 8336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8332 and 8336 the smallest integer that is 17363888 that is divisible by both numbers.

Least Common Multiple (LCM) of 8332 and 8336 is 17363888.

LCM(8332,8336) = 17363888

LCM of 8332 and 8336

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

LCM of:
and

Least Common Multiple of 8332 and 8336

LCM of 8332 and 8336 is 17363888

Least common multiple can be found by multiplying the highest exponent prime factors of 8332 and 8336. First we will calculate the prime factors of 8332 and 8336.

Prime Factorization of 8332


2 8332
2 4166
2083 2083
1

Prime factors of 8332 are 2,2083. Prime factorization of 8332 in exponential form is:

8332 = 22×20831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8332 and 8336.

LCM(8332,8336) = 24×5211×20831
LCM(8332,8336) = 17363888

Factors of 8332

List of positive integer factors of 8332 that divides 8332 without a remainder.

1, 2, 4, 2083, 4166, 8332

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

Least Common Multiple of 8332 and 8336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8332 and 8336, than apply into the LCM equation.

GCF(8332,8336) = 4
LCM(8332,8336) = ( 8332 × 8336) / 4
LCM(8332,8336) = 69455552 / 4
LCM(8332,8336) = 17363888

Properties of LCM 8332 and 8336

(i) The LCM of 8336 and 8332 is associative

LCM of 8332 and 8336 = LCM of 8336 and 8332

Related Least Common Multiples of 8332

Related Least Common Multiples of 8336

Frequently Asked Questions on LCM of 8332 and 8336

1. What is the LCM of 8332 and 8336?

Answer: LCM of 8332 and 8336 is 17363888.

2. What are the Factors of 8332?

Answer: Factors of 8332 are 1, 2, 4, 2083, 4166, 8332. There are 6 integers that are factors of 8332. The greatest factor of 8332 is 8332.

3. 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.

4. How to Find the LCM of 8332 and 8336?

Answer:

Least Common Multiple of 8332 and 8336 = 17363888

Step 1: Find the prime factorization of 8332

8332 = 2 x 2 x 2083

Step 2: Find the prime factorization of 8336

8336 = 2 x 2 x 2 x 2 x 521

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

LCM = 17363888 = 2 x 2 x 2 x 2 x 521 x 2083

Step 4: Therefore, the least common multiple of 8332 and 8336 is 17363888.