Least Common Multiple of 8332 and 8333

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 8333 the smallest integer that is 69430556 that is divisible by both numbers.

Least Common Multiple (LCM) of 8332 and 8333 is 69430556.

LCM(8332,8333) = 69430556

LCM of 8332 and 8333

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

LCM of:
and

Least Common Multiple of 8332 and 8333

LCM of 8332 and 8333 is 69430556

Least common multiple can be found by multiplying the highest exponent prime factors of 8332 and 8333. First we will calculate the prime factors of 8332 and 8333.

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 8333


13 8333
641 641
1

Prime factors of 8333 are 13,641. Prime factorization of 8333 in exponential form is:

8333 = 131×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 8332 and 8333.

LCM(8332,8333) = 22×131×6411×20831
LCM(8332,8333) = 69430556

Factors of 8332

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

1, 2, 4, 2083, 4166, 8332

Factors of 8333

List of positive integer factors of 8333 that divides 8333 without a remainder.

1, 13, 641, 8333

Least Common Multiple of 8332 and 8333 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 8333, than apply into the LCM equation.

GCF(8332,8333) = 1
LCM(8332,8333) = ( 8332 × 8333) / 1
LCM(8332,8333) = 69430556 / 1
LCM(8332,8333) = 69430556

Properties of LCM 8332 and 8333

(i) The LCM of 8333 and 8332 is associative

LCM of 8332 and 8333 = LCM of 8333 and 8332

Related Least Common Multiples of 8332

Related Least Common Multiples of 8333

Frequently Asked Questions on LCM of 8332 and 8333

1. What is the LCM of 8332 and 8333?

Answer: LCM of 8332 and 8333 is 69430556.

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 8333?

Answer: Factors of 8333 are 1, 13, 641, 8333. There are 4 integers that are factors of 8333. The greatest factor of 8333 is 8333.

4. How to Find the LCM of 8332 and 8333?

Answer:

Least Common Multiple of 8332 and 8333 = 69430556

Step 1: Find the prime factorization of 8332

8332 = 2 x 2 x 2083

Step 2: Find the prime factorization of 8333

8333 = 13 x 641

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

LCM = 69430556 = 2 x 2 x 13 x 641 x 2083

Step 4: Therefore, the least common multiple of 8332 and 8333 is 69430556.