Least Common Multiple of 6320 and 6324

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 6324 the smallest integer that is 9991920 that is divisible by both numbers.

Least Common Multiple (LCM) of 6320 and 6324 is 9991920.

LCM(6320,6324) = 9991920

LCM of 6320 and 6324

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

LCM of:
and

Least Common Multiple of 6320 and 6324

LCM of 6320 and 6324 is 9991920

Least common multiple can be found by multiplying the highest exponent prime factors of 6320 and 6324. First we will calculate the prime factors of 6320 and 6324.

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 6324


2 6324
2 3162
3 1581
17 527
31 31
1

Prime factors of 6324 are 2, 3, 17,31. Prime factorization of 6324 in exponential form is:

6324 = 22×31×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6320 and 6324.

LCM(6320,6324) = 24×31×51×171×311×791
LCM(6320,6324) = 9991920

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 6324

List of positive integer factors of 6324 that divides 6324 without a remainder.

1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324

Least Common Multiple of 6320 and 6324 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 6324, than apply into the LCM equation.

GCF(6320,6324) = 4
LCM(6320,6324) = ( 6320 × 6324) / 4
LCM(6320,6324) = 39967680 / 4
LCM(6320,6324) = 9991920

Properties of LCM 6320 and 6324

(i) The LCM of 6324 and 6320 is associative

LCM of 6320 and 6324 = LCM of 6324 and 6320

Related Least Common Multiples of 6320

Related Least Common Multiples of 6324

Frequently Asked Questions on LCM of 6320 and 6324

1. What is the LCM of 6320 and 6324?

Answer: LCM of 6320 and 6324 is 9991920.

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 6324?

Answer: Factors of 6324 are 1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324. There are 24 integers that are factors of 6324. The greatest factor of 6324 is 6324.

4. How to Find the LCM of 6320 and 6324?

Answer:

Least Common Multiple of 6320 and 6324 = 9991920

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 6324

6324 = 2 x 2 x 3 x 17 x 31

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

LCM = 9991920 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 31 x 79

Step 4: Therefore, the least common multiple of 6320 and 6324 is 9991920.