Least Common Multiple of 5360 and 5367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5360 and 5367 the smallest integer that is 28767120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5360 and 5367 is 28767120.

LCM(5360,5367) = 28767120

LCM of 5360 and 5367

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

LCM of:
and

Least Common Multiple of 5360 and 5367

LCM of 5360 and 5367 is 28767120

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5367. First we will calculate the prime factors of 5360 and 5367.

Prime Factorization of 5360


2 5360
2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 5360 are 2, 5,67. Prime factorization of 5360 in exponential form is:

5360 = 24×51×671

Prime Factorization of 5367


3 5367
1789 1789
1

Prime factors of 5367 are 3,1789. Prime factorization of 5367 in exponential form is:

5367 = 31×17891

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5367.

LCM(5360,5367) = 24×31×51×671×17891
LCM(5360,5367) = 28767120

Factors of 5360

List of positive integer factors of 5360 that divides 5360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360

Factors of 5367

List of positive integer factors of 5367 that divides 5367 without a remainder.

1, 3, 1789, 5367

Least Common Multiple of 5360 and 5367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5360 and 5367, than apply into the LCM equation.

GCF(5360,5367) = 1
LCM(5360,5367) = ( 5360 × 5367) / 1
LCM(5360,5367) = 28767120 / 1
LCM(5360,5367) = 28767120

Properties of LCM 5360 and 5367

(i) The LCM of 5367 and 5360 is associative

LCM of 5360 and 5367 = LCM of 5367 and 5360

Related Least Common Multiples of 5360

Related Least Common Multiples of 5367

Frequently Asked Questions on LCM of 5360 and 5367

1. What is the LCM of 5360 and 5367?

Answer: LCM of 5360 and 5367 is 28767120.

2. What are the Factors of 5360?

Answer: Factors of 5360 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 67, 80, 134, 268, 335, 536, 670, 1072, 1340, 2680, 5360. There are 20 integers that are factors of 5360. The greatest factor of 5360 is 5360.

3. What are the Factors of 5367?

Answer: Factors of 5367 are 1, 3, 1789, 5367. There are 4 integers that are factors of 5367. The greatest factor of 5367 is 5367.

4. How to Find the LCM of 5360 and 5367?

Answer:

Least Common Multiple of 5360 and 5367 = 28767120

Step 1: Find the prime factorization of 5360

5360 = 2 x 2 x 2 x 2 x 5 x 67

Step 2: Find the prime factorization of 5367

5367 = 3 x 1789

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

LCM = 28767120 = 2 x 2 x 2 x 2 x 3 x 5 x 67 x 1789

Step 4: Therefore, the least common multiple of 5360 and 5367 is 28767120.