Least Common Multiple of 5353 and 5360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5353 and 5360 the smallest integer that is 28692080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5353 and 5360 is 28692080.

LCM(5353,5360) = 28692080

LCM of 5353 and 5360

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

LCM of:
and

Least Common Multiple of 5353 and 5360

LCM of 5353 and 5360 is 28692080

Least common multiple can be found by multiplying the highest exponent prime factors of 5353 and 5360. First we will calculate the prime factors of 5353 and 5360.

Prime Factorization of 5353


53 5353
101 101
1

Prime factors of 5353 are 53,101. Prime factorization of 5353 in exponential form is:

5353 = 531×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5353 and 5360.

LCM(5353,5360) = 24×51×531×671×1011
LCM(5353,5360) = 28692080

Factors of 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1, 53, 101, 5353

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

Least Common Multiple of 5353 and 5360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5353 and 5360, than apply into the LCM equation.

GCF(5353,5360) = 1
LCM(5353,5360) = ( 5353 × 5360) / 1
LCM(5353,5360) = 28692080 / 1
LCM(5353,5360) = 28692080

Properties of LCM 5353 and 5360

(i) The LCM of 5360 and 5353 is associative

LCM of 5353 and 5360 = LCM of 5360 and 5353

Related Least Common Multiples of 5353

Related Least Common Multiples of 5360

Frequently Asked Questions on LCM of 5353 and 5360

1. What is the LCM of 5353 and 5360?

Answer: LCM of 5353 and 5360 is 28692080.

2. What are the Factors of 5353?

Answer: Factors of 5353 are 1, 53, 101, 5353. There are 4 integers that are factors of 5353. The greatest factor of 5353 is 5353.

3. 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.

4. How to Find the LCM of 5353 and 5360?

Answer:

Least Common Multiple of 5353 and 5360 = 28692080

Step 1: Find the prime factorization of 5353

5353 = 53 x 101

Step 2: Find the prime factorization of 5360

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

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

LCM = 28692080 = 2 x 2 x 2 x 2 x 5 x 53 x 67 x 101

Step 4: Therefore, the least common multiple of 5353 and 5360 is 28692080.