Least Common Multiple of 5359 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 5359 and 5364 the smallest integer that is 28745676 that is divisible by both numbers.

Least Common Multiple (LCM) of 5359 and 5364 is 28745676.

LCM(5359,5364) = 28745676

LCM of 5359 and 5364

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

LCM of:
and

Least Common Multiple of 5359 and 5364

LCM of 5359 and 5364 is 28745676

Least common multiple can be found by multiplying the highest exponent prime factors of 5359 and 5364. First we will calculate the prime factors of 5359 and 5364.

Prime Factorization of 5359


23 5359
233 233
1

Prime factors of 5359 are 23,233. Prime factorization of 5359 in exponential form is:

5359 = 231×2331

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 5359 and 5364.

LCM(5359,5364) = 22×32×231×1491×2331
LCM(5359,5364) = 28745676

Factors of 5359

List of positive integer factors of 5359 that divides 5359 without a remainder.

1, 23, 233, 5359

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 5359 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 5359 and 5364, than apply into the LCM equation.

GCF(5359,5364) = 1
LCM(5359,5364) = ( 5359 × 5364) / 1
LCM(5359,5364) = 28745676 / 1
LCM(5359,5364) = 28745676

Properties of LCM 5359 and 5364

(i) The LCM of 5364 and 5359 is associative

LCM of 5359 and 5364 = LCM of 5364 and 5359

Related Least Common Multiples of 5359

Related Least Common Multiples of 5364

Frequently Asked Questions on LCM of 5359 and 5364

1. What is the LCM of 5359 and 5364?

Answer: LCM of 5359 and 5364 is 28745676.

2. What are the Factors of 5359?

Answer: Factors of 5359 are 1, 23, 233, 5359. There are 4 integers that are factors of 5359. The greatest factor of 5359 is 5359.

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 5359 and 5364?

Answer:

Least Common Multiple of 5359 and 5364 = 28745676

Step 1: Find the prime factorization of 5359

5359 = 23 x 233

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 = 28745676 = 2 x 2 x 3 x 3 x 23 x 149 x 233

Step 4: Therefore, the least common multiple of 5359 and 5364 is 28745676.