Least Common Multiple of 6328 and 6333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6328 and 6333 the smallest integer that is 40075224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6328 and 6333 is 40075224.

LCM(6328,6333) = 40075224

LCM of 6328 and 6333

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

LCM of:
and

Least Common Multiple of 6328 and 6333

LCM of 6328 and 6333 is 40075224

Least common multiple can be found by multiplying the highest exponent prime factors of 6328 and 6333. First we will calculate the prime factors of 6328 and 6333.

Prime Factorization of 6328


2 6328
2 3164
2 1582
7 791
113 113
1

Prime factors of 6328 are 2, 7,113. Prime factorization of 6328 in exponential form is:

6328 = 23×71×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6328 and 6333.

LCM(6328,6333) = 23×31×71×1131×21111
LCM(6328,6333) = 40075224

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328

Factors of 6333

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

1, 3, 2111, 6333

Least Common Multiple of 6328 and 6333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6328 and 6333, than apply into the LCM equation.

GCF(6328,6333) = 1
LCM(6328,6333) = ( 6328 × 6333) / 1
LCM(6328,6333) = 40075224 / 1
LCM(6328,6333) = 40075224

Properties of LCM 6328 and 6333

(i) The LCM of 6333 and 6328 is associative

LCM of 6328 and 6333 = LCM of 6333 and 6328

Related Least Common Multiples of 6328

Related Least Common Multiples of 6333

Frequently Asked Questions on LCM of 6328 and 6333

1. What is the LCM of 6328 and 6333?

Answer: LCM of 6328 and 6333 is 40075224.

2. What are the Factors of 6328?

Answer: Factors of 6328 are 1, 2, 4, 7, 8, 14, 28, 56, 113, 226, 452, 791, 904, 1582, 3164, 6328. There are 16 integers that are factors of 6328. The greatest factor of 6328 is 6328.

3. 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.

4. How to Find the LCM of 6328 and 6333?

Answer:

Least Common Multiple of 6328 and 6333 = 40075224

Step 1: Find the prime factorization of 6328

6328 = 2 x 2 x 2 x 7 x 113

Step 2: Find the prime factorization of 6333

6333 = 3 x 2111

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

LCM = 40075224 = 2 x 2 x 2 x 3 x 7 x 113 x 2111

Step 4: Therefore, the least common multiple of 6328 and 6333 is 40075224.