Least Common Multiple of 5305 and 5311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5305 and 5311 the smallest integer that is 28174855 that is divisible by both numbers.

Least Common Multiple (LCM) of 5305 and 5311 is 28174855.

LCM(5305,5311) = 28174855

LCM of 5305 and 5311

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

LCM of:
and

Least Common Multiple of 5305 and 5311

LCM of 5305 and 5311 is 28174855

Least common multiple can be found by multiplying the highest exponent prime factors of 5305 and 5311. First we will calculate the prime factors of 5305 and 5311.

Prime Factorization of 5305


5 5305
1061 1061
1

Prime factors of 5305 are 5,1061. Prime factorization of 5305 in exponential form is:

5305 = 51×10611

Prime Factorization of 5311


47 5311
113 113
1

Prime factors of 5311 are 47,113. Prime factorization of 5311 in exponential form is:

5311 = 471×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5305 and 5311.

LCM(5305,5311) = 51×471×1131×10611
LCM(5305,5311) = 28174855

Factors of 5305

List of positive integer factors of 5305 that divides 5305 without a remainder.

1, 5, 1061, 5305

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1, 47, 113, 5311

Least Common Multiple of 5305 and 5311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5305 and 5311, than apply into the LCM equation.

GCF(5305,5311) = 1
LCM(5305,5311) = ( 5305 × 5311) / 1
LCM(5305,5311) = 28174855 / 1
LCM(5305,5311) = 28174855

Properties of LCM 5305 and 5311

(i) The LCM of 5311 and 5305 is associative

LCM of 5305 and 5311 = LCM of 5311 and 5305

Related Least Common Multiples of 5305

Related Least Common Multiples of 5311

Frequently Asked Questions on LCM of 5305 and 5311

1. What is the LCM of 5305 and 5311?

Answer: LCM of 5305 and 5311 is 28174855.

2. What are the Factors of 5305?

Answer: Factors of 5305 are 1, 5, 1061, 5305. There are 4 integers that are factors of 5305. The greatest factor of 5305 is 5305.

3. What are the Factors of 5311?

Answer: Factors of 5311 are 1, 47, 113, 5311. There are 4 integers that are factors of 5311. The greatest factor of 5311 is 5311.

4. How to Find the LCM of 5305 and 5311?

Answer:

Least Common Multiple of 5305 and 5311 = 28174855

Step 1: Find the prime factorization of 5305

5305 = 5 x 1061

Step 2: Find the prime factorization of 5311

5311 = 47 x 113

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

LCM = 28174855 = 5 x 47 x 113 x 1061

Step 4: Therefore, the least common multiple of 5305 and 5311 is 28174855.