Least Common Multiple of 6320 and 6328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6320 and 6328 the smallest integer that is 4999120 that is divisible by both numbers.

Least Common Multiple (LCM) of 6320 and 6328 is 4999120.

LCM(6320,6328) = 4999120

LCM of 6320 and 6328

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

LCM of:
and

Least Common Multiple of 6320 and 6328

LCM of 6320 and 6328 is 4999120

Least common multiple can be found by multiplying the highest exponent prime factors of 6320 and 6328. First we will calculate the prime factors of 6320 and 6328.

Prime Factorization of 6320


2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 6320 are 2, 5,79. Prime factorization of 6320 in exponential form is:

6320 = 24×51×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6320 and 6328.

LCM(6320,6328) = 24×51×71×791×1131
LCM(6320,6328) = 4999120

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320

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

Least Common Multiple of 6320 and 6328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6320 and 6328, than apply into the LCM equation.

GCF(6320,6328) = 8
LCM(6320,6328) = ( 6320 × 6328) / 8
LCM(6320,6328) = 39992960 / 8
LCM(6320,6328) = 4999120

Properties of LCM 6320 and 6328

(i) The LCM of 6328 and 6320 is associative

LCM of 6320 and 6328 = LCM of 6328 and 6320

Related Least Common Multiples of 6320

Related Least Common Multiples of 6328

Frequently Asked Questions on LCM of 6320 and 6328

1. What is the LCM of 6320 and 6328?

Answer: LCM of 6320 and 6328 is 4999120.

2. What are the Factors of 6320?

Answer: Factors of 6320 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160, 6320. There are 20 integers that are factors of 6320. The greatest factor of 6320 is 6320.

3. 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.

4. How to Find the LCM of 6320 and 6328?

Answer:

Least Common Multiple of 6320 and 6328 = 4999120

Step 1: Find the prime factorization of 6320

6320 = 2 x 2 x 2 x 2 x 5 x 79

Step 2: Find the prime factorization of 6328

6328 = 2 x 2 x 2 x 7 x 113

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

LCM = 4999120 = 2 x 2 x 2 x 2 x 5 x 7 x 79 x 113

Step 4: Therefore, the least common multiple of 6320 and 6328 is 4999120.