Least Common Multiple of 8324 and 8332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8324 and 8332 the smallest integer that is 17338892 that is divisible by both numbers.

Least Common Multiple (LCM) of 8324 and 8332 is 17338892.

LCM(8324,8332) = 17338892

LCM of 8324 and 8332

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

LCM of:
and

Least Common Multiple of 8324 and 8332

LCM of 8324 and 8332 is 17338892

Least common multiple can be found by multiplying the highest exponent prime factors of 8324 and 8332. First we will calculate the prime factors of 8324 and 8332.

Prime Factorization of 8324


2 8324
2 4162
2081 2081
1

Prime factors of 8324 are 2,2081. Prime factorization of 8324 in exponential form is:

8324 = 22×20811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8324 and 8332.

LCM(8324,8332) = 22×20811×20831
LCM(8324,8332) = 17338892

Factors of 8324

List of positive integer factors of 8324 that divides 8324 without a remainder.

1, 2, 4, 2081, 4162, 8324

Factors of 8332

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

1, 2, 4, 2083, 4166, 8332

Least Common Multiple of 8324 and 8332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8324 and 8332, than apply into the LCM equation.

GCF(8324,8332) = 4
LCM(8324,8332) = ( 8324 × 8332) / 4
LCM(8324,8332) = 69355568 / 4
LCM(8324,8332) = 17338892

Properties of LCM 8324 and 8332

(i) The LCM of 8332 and 8324 is associative

LCM of 8324 and 8332 = LCM of 8332 and 8324

Related Least Common Multiples of 8324

Related Least Common Multiples of 8332

Frequently Asked Questions on LCM of 8324 and 8332

1. What is the LCM of 8324 and 8332?

Answer: LCM of 8324 and 8332 is 17338892.

2. What are the Factors of 8324?

Answer: Factors of 8324 are 1, 2, 4, 2081, 4162, 8324. There are 6 integers that are factors of 8324. The greatest factor of 8324 is 8324.

3. 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.

4. How to Find the LCM of 8324 and 8332?

Answer:

Least Common Multiple of 8324 and 8332 = 17338892

Step 1: Find the prime factorization of 8324

8324 = 2 x 2 x 2081

Step 2: Find the prime factorization of 8332

8332 = 2 x 2 x 2083

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

LCM = 17338892 = 2 x 2 x 2081 x 2083

Step 4: Therefore, the least common multiple of 8324 and 8332 is 17338892.