Least Common Multiple of 5360 and 5361

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 5361 the smallest integer that is 28734960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5360 and 5361 is 28734960.

LCM(5360,5361) = 28734960

LCM of 5360 and 5361

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

LCM of:
and

Least Common Multiple of 5360 and 5361

LCM of 5360 and 5361 is 28734960

Least common multiple can be found by multiplying the highest exponent prime factors of 5360 and 5361. First we will calculate the prime factors of 5360 and 5361.

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 5361


3 5361
1787 1787
1

Prime factors of 5361 are 3,1787. Prime factorization of 5361 in exponential form is:

5361 = 31×17871

Now multiplying the highest exponent prime factors to calculate the LCM of 5360 and 5361.

LCM(5360,5361) = 24×31×51×671×17871
LCM(5360,5361) = 28734960

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 5361

List of positive integer factors of 5361 that divides 5361 without a remainder.

1, 3, 1787, 5361

Least Common Multiple of 5360 and 5361 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 5361, than apply into the LCM equation.

GCF(5360,5361) = 1
LCM(5360,5361) = ( 5360 × 5361) / 1
LCM(5360,5361) = 28734960 / 1
LCM(5360,5361) = 28734960

Properties of LCM 5360 and 5361

(i) The LCM of 5361 and 5360 is associative

LCM of 5360 and 5361 = LCM of 5361 and 5360

Related Least Common Multiples of 5360

Related Least Common Multiples of 5361

Frequently Asked Questions on LCM of 5360 and 5361

1. What is the LCM of 5360 and 5361?

Answer: LCM of 5360 and 5361 is 28734960.

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 5361?

Answer: Factors of 5361 are 1, 3, 1787, 5361. There are 4 integers that are factors of 5361. The greatest factor of 5361 is 5361.

4. How to Find the LCM of 5360 and 5361?

Answer:

Least Common Multiple of 5360 and 5361 = 28734960

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 5361

5361 = 3 x 1787

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

LCM = 28734960 = 2 x 2 x 2 x 2 x 3 x 5 x 67 x 1787

Step 4: Therefore, the least common multiple of 5360 and 5361 is 28734960.