Least Common Multiple of 5356 and 5364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5356 and 5364 the smallest integer that is 7182396 that is divisible by both numbers.

Least Common Multiple (LCM) of 5356 and 5364 is 7182396.

LCM(5356,5364) = 7182396

LCM of 5356 and 5364

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

LCM of:
and

Least Common Multiple of 5356 and 5364

LCM of 5356 and 5364 is 7182396

Least common multiple can be found by multiplying the highest exponent prime factors of 5356 and 5364. First we will calculate the prime factors of 5356 and 5364.

Prime Factorization of 5356


2 5356
2 2678
13 1339
103 103
1

Prime factors of 5356 are 2, 13,103. Prime factorization of 5356 in exponential form is:

5356 = 22×131×1031

Prime Factorization of 5364


2 5364
2 2682
3 1341
3 447
149 149
1

Prime factors of 5364 are 2, 3,149. Prime factorization of 5364 in exponential form is:

5364 = 22×32×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 5356 and 5364.

LCM(5356,5364) = 22×32×131×1031×1491
LCM(5356,5364) = 7182396

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356

Factors of 5364

List of positive integer factors of 5364 that divides 5364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364

Least Common Multiple of 5356 and 5364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5356 and 5364, than apply into the LCM equation.

GCF(5356,5364) = 4
LCM(5356,5364) = ( 5356 × 5364) / 4
LCM(5356,5364) = 28729584 / 4
LCM(5356,5364) = 7182396

Properties of LCM 5356 and 5364

(i) The LCM of 5364 and 5356 is associative

LCM of 5356 and 5364 = LCM of 5364 and 5356

Related Least Common Multiples of 5356

Related Least Common Multiples of 5364

Frequently Asked Questions on LCM of 5356 and 5364

1. What is the LCM of 5356 and 5364?

Answer: LCM of 5356 and 5364 is 7182396.

2. What are the Factors of 5356?

Answer: Factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356. There are 12 integers that are factors of 5356. The greatest factor of 5356 is 5356.

3. What are the Factors of 5364?

Answer: Factors of 5364 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682, 5364. There are 18 integers that are factors of 5364. The greatest factor of 5364 is 5364.

4. How to Find the LCM of 5356 and 5364?

Answer:

Least Common Multiple of 5356 and 5364 = 7182396

Step 1: Find the prime factorization of 5356

5356 = 2 x 2 x 13 x 103

Step 2: Find the prime factorization of 5364

5364 = 2 x 2 x 3 x 3 x 149

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

LCM = 7182396 = 2 x 2 x 3 x 3 x 13 x 103 x 149

Step 4: Therefore, the least common multiple of 5356 and 5364 is 7182396.