Least Common Multiple of 6316 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 6316 and 6324 the smallest integer that is 9985596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6316 and 6324 is 9985596.

LCM(6316,6324) = 9985596

LCM of 6316 and 6324

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

LCM of:
and

Least Common Multiple of 6316 and 6324

LCM of 6316 and 6324 is 9985596

Least common multiple can be found by multiplying the highest exponent prime factors of 6316 and 6324. First we will calculate the prime factors of 6316 and 6324.

Prime Factorization of 6316


2 6316
2 3158
1579 1579
1

Prime factors of 6316 are 2,1579. Prime factorization of 6316 in exponential form is:

6316 = 22×15791

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 6316 and 6324.

LCM(6316,6324) = 22×31×171×311×15791
LCM(6316,6324) = 9985596

Factors of 6316

List of positive integer factors of 6316 that divides 6316 without a remainder.

1, 2, 4, 1579, 3158, 6316

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 6316 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 6316 and 6324, than apply into the LCM equation.

GCF(6316,6324) = 4
LCM(6316,6324) = ( 6316 × 6324) / 4
LCM(6316,6324) = 39942384 / 4
LCM(6316,6324) = 9985596

Properties of LCM 6316 and 6324

(i) The LCM of 6324 and 6316 is associative

LCM of 6316 and 6324 = LCM of 6324 and 6316

Related Least Common Multiples of 6316

Related Least Common Multiples of 6324

Frequently Asked Questions on LCM of 6316 and 6324

1. What is the LCM of 6316 and 6324?

Answer: LCM of 6316 and 6324 is 9985596.

2. What are the Factors of 6316?

Answer: Factors of 6316 are 1, 2, 4, 1579, 3158, 6316. There are 6 integers that are factors of 6316. The greatest factor of 6316 is 6316.

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 6316 and 6324?

Answer:

Least Common Multiple of 6316 and 6324 = 9985596

Step 1: Find the prime factorization of 6316

6316 = 2 x 2 x 1579

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 = 9985596 = 2 x 2 x 3 x 17 x 31 x 1579

Step 4: Therefore, the least common multiple of 6316 and 6324 is 9985596.