Least Common Multiple of 6333 and 6340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6333 and 6340 the smallest integer that is 40151220 that is divisible by both numbers.

Least Common Multiple (LCM) of 6333 and 6340 is 40151220.

LCM(6333,6340) = 40151220

LCM of 6333 and 6340

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

LCM of:
and

Least Common Multiple of 6333 and 6340

LCM of 6333 and 6340 is 40151220

Least common multiple can be found by multiplying the highest exponent prime factors of 6333 and 6340. First we will calculate the prime factors of 6333 and 6340.

Prime Factorization of 6333


3 6333
2111 2111
1

Prime factors of 6333 are 3,2111. Prime factorization of 6333 in exponential form is:

6333 = 31×21111

Prime Factorization of 6340


2 6340
2 3170
5 1585
317 317
1

Prime factors of 6340 are 2, 5,317. Prime factorization of 6340 in exponential form is:

6340 = 22×51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 6333 and 6340.

LCM(6333,6340) = 22×31×51×3171×21111
LCM(6333,6340) = 40151220

Factors of 6333

List of positive integer factors of 6333 that divides 6333 without a remainder.

1, 3, 2111, 6333

Factors of 6340

List of positive integer factors of 6340 that divides 6340 without a remainder.

1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340

Least Common Multiple of 6333 and 6340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6333 and 6340, than apply into the LCM equation.

GCF(6333,6340) = 1
LCM(6333,6340) = ( 6333 × 6340) / 1
LCM(6333,6340) = 40151220 / 1
LCM(6333,6340) = 40151220

Properties of LCM 6333 and 6340

(i) The LCM of 6340 and 6333 is associative

LCM of 6333 and 6340 = LCM of 6340 and 6333

Related Least Common Multiples of 6333

Related Least Common Multiples of 6340

Frequently Asked Questions on LCM of 6333 and 6340

1. What is the LCM of 6333 and 6340?

Answer: LCM of 6333 and 6340 is 40151220.

2. What are the Factors of 6333?

Answer: Factors of 6333 are 1, 3, 2111, 6333. There are 4 integers that are factors of 6333. The greatest factor of 6333 is 6333.

3. What are the Factors of 6340?

Answer: Factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340. There are 12 integers that are factors of 6340. The greatest factor of 6340 is 6340.

4. How to Find the LCM of 6333 and 6340?

Answer:

Least Common Multiple of 6333 and 6340 = 40151220

Step 1: Find the prime factorization of 6333

6333 = 3 x 2111

Step 2: Find the prime factorization of 6340

6340 = 2 x 2 x 5 x 317

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

LCM = 40151220 = 2 x 2 x 3 x 5 x 317 x 2111

Step 4: Therefore, the least common multiple of 6333 and 6340 is 40151220.