Least Common Multiple of 5316 and 5324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5316 and 5324 the smallest integer that is 7075596 that is divisible by both numbers.

Least Common Multiple (LCM) of 5316 and 5324 is 7075596.

LCM(5316,5324) = 7075596

LCM of 5316 and 5324

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

LCM of:
and

Least Common Multiple of 5316 and 5324

LCM of 5316 and 5324 is 7075596

Least common multiple can be found by multiplying the highest exponent prime factors of 5316 and 5324. First we will calculate the prime factors of 5316 and 5324.

Prime Factorization of 5316


2 5316
2 2658
3 1329
443 443
1

Prime factors of 5316 are 2, 3,443. Prime factorization of 5316 in exponential form is:

5316 = 22×31×4431

Prime Factorization of 5324


2 5324
2 2662
11 1331
11 121
11 11
1

Prime factors of 5324 are 2,11. Prime factorization of 5324 in exponential form is:

5324 = 22×113

Now multiplying the highest exponent prime factors to calculate the LCM of 5316 and 5324.

LCM(5316,5324) = 22×31×113×4431
LCM(5316,5324) = 7075596

Factors of 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316

Factors of 5324

List of positive integer factors of 5324 that divides 5324 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324

Least Common Multiple of 5316 and 5324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5316 and 5324, than apply into the LCM equation.

GCF(5316,5324) = 4
LCM(5316,5324) = ( 5316 × 5324) / 4
LCM(5316,5324) = 28302384 / 4
LCM(5316,5324) = 7075596

Properties of LCM 5316 and 5324

(i) The LCM of 5324 and 5316 is associative

LCM of 5316 and 5324 = LCM of 5324 and 5316

Related Least Common Multiples of 5316

Related Least Common Multiples of 5324

Frequently Asked Questions on LCM of 5316 and 5324

1. What is the LCM of 5316 and 5324?

Answer: LCM of 5316 and 5324 is 7075596.

2. What are the Factors of 5316?

Answer: Factors of 5316 are 1, 2, 3, 4, 6, 12, 443, 886, 1329, 1772, 2658, 5316. There are 12 integers that are factors of 5316. The greatest factor of 5316 is 5316.

3. What are the Factors of 5324?

Answer: Factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324. There are 12 integers that are factors of 5324. The greatest factor of 5324 is 5324.

4. How to Find the LCM of 5316 and 5324?

Answer:

Least Common Multiple of 5316 and 5324 = 7075596

Step 1: Find the prime factorization of 5316

5316 = 2 x 2 x 3 x 443

Step 2: Find the prime factorization of 5324

5324 = 2 x 2 x 11 x 11 x 11

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

LCM = 7075596 = 2 x 2 x 3 x 11 x 11 x 11 x 443

Step 4: Therefore, the least common multiple of 5316 and 5324 is 7075596.