Least Common Multiple of 8333 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 8333 and 8340 the smallest integer that is 69497220 that is divisible by both numbers.

Least Common Multiple (LCM) of 8333 and 8340 is 69497220.

LCM(8333,8340) = 69497220

LCM of 8333 and 8340

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

LCM of:
and

Least Common Multiple of 8333 and 8340

LCM of 8333 and 8340 is 69497220

Least common multiple can be found by multiplying the highest exponent prime factors of 8333 and 8340. First we will calculate the prime factors of 8333 and 8340.

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

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 8333 and 8340.

LCM(8333,8340) = 22×31×51×131×1391×6411
LCM(8333,8340) = 69497220

Factors of 8333

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

1, 13, 641, 8333

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 8333 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 8333 and 8340, than apply into the LCM equation.

GCF(8333,8340) = 1
LCM(8333,8340) = ( 8333 × 8340) / 1
LCM(8333,8340) = 69497220 / 1
LCM(8333,8340) = 69497220

Properties of LCM 8333 and 8340

(i) The LCM of 8340 and 8333 is associative

LCM of 8333 and 8340 = LCM of 8340 and 8333

Related Least Common Multiples of 8333

Related Least Common Multiples of 8340

Frequently Asked Questions on LCM of 8333 and 8340

1. What is the LCM of 8333 and 8340?

Answer: LCM of 8333 and 8340 is 69497220.

2. 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.

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 8333 and 8340?

Answer:

Least Common Multiple of 8333 and 8340 = 69497220

Step 1: Find the prime factorization of 8333

8333 = 13 x 641

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 = 69497220 = 2 x 2 x 3 x 5 x 13 x 139 x 641

Step 4: Therefore, the least common multiple of 8333 and 8340 is 69497220.