Least Common Multiple of 6328 and 6332

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 6332 the smallest integer that is 10017224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6328 and 6332 is 10017224.

LCM(6328,6332) = 10017224

LCM of 6328 and 6332

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

LCM of:
and

Least Common Multiple of 6328 and 6332

LCM of 6328 and 6332 is 10017224

Least common multiple can be found by multiplying the highest exponent prime factors of 6328 and 6332. First we will calculate the prime factors of 6328 and 6332.

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 6332


2 6332
2 3166
1583 1583
1

Prime factors of 6332 are 2,1583. Prime factorization of 6332 in exponential form is:

6332 = 22×15831

Now multiplying the highest exponent prime factors to calculate the LCM of 6328 and 6332.

LCM(6328,6332) = 23×71×1131×15831
LCM(6328,6332) = 10017224

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 6332

List of positive integer factors of 6332 that divides 6332 without a remainder.

1, 2, 4, 1583, 3166, 6332

Least Common Multiple of 6328 and 6332 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 6332, than apply into the LCM equation.

GCF(6328,6332) = 4
LCM(6328,6332) = ( 6328 × 6332) / 4
LCM(6328,6332) = 40068896 / 4
LCM(6328,6332) = 10017224

Properties of LCM 6328 and 6332

(i) The LCM of 6332 and 6328 is associative

LCM of 6328 and 6332 = LCM of 6332 and 6328

Related Least Common Multiples of 6328

Related Least Common Multiples of 6332

Frequently Asked Questions on LCM of 6328 and 6332

1. What is the LCM of 6328 and 6332?

Answer: LCM of 6328 and 6332 is 10017224.

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 6332?

Answer: Factors of 6332 are 1, 2, 4, 1583, 3166, 6332. There are 6 integers that are factors of 6332. The greatest factor of 6332 is 6332.

4. How to Find the LCM of 6328 and 6332?

Answer:

Least Common Multiple of 6328 and 6332 = 10017224

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 6332

6332 = 2 x 2 x 1583

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

LCM = 10017224 = 2 x 2 x 2 x 7 x 113 x 1583

Step 4: Therefore, the least common multiple of 6328 and 6332 is 10017224.