Least Common Multiple of 5314 and 5321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5314 and 5321 the smallest integer that is 28275794 that is divisible by both numbers.

Least Common Multiple (LCM) of 5314 and 5321 is 28275794.

LCM(5314,5321) = 28275794

LCM of 5314 and 5321

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

LCM of:
and

Least Common Multiple of 5314 and 5321

LCM of 5314 and 5321 is 28275794

Least common multiple can be found by multiplying the highest exponent prime factors of 5314 and 5321. First we will calculate the prime factors of 5314 and 5321.

Prime Factorization of 5314


2 5314
2657 2657
1

Prime factors of 5314 are 2,2657. Prime factorization of 5314 in exponential form is:

5314 = 21×26571

Prime Factorization of 5321


17 5321
313 313
1

Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:

5321 = 171×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 5314 and 5321.

LCM(5314,5321) = 21×171×3131×26571
LCM(5314,5321) = 28275794

Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1, 2, 2657, 5314

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1, 17, 313, 5321

Least Common Multiple of 5314 and 5321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5314 and 5321, than apply into the LCM equation.

GCF(5314,5321) = 1
LCM(5314,5321) = ( 5314 × 5321) / 1
LCM(5314,5321) = 28275794 / 1
LCM(5314,5321) = 28275794

Properties of LCM 5314 and 5321

(i) The LCM of 5321 and 5314 is associative

LCM of 5314 and 5321 = LCM of 5321 and 5314

Related Least Common Multiples of 5314

Related Least Common Multiples of 5321

Frequently Asked Questions on LCM of 5314 and 5321

1. What is the LCM of 5314 and 5321?

Answer: LCM of 5314 and 5321 is 28275794.

2. What are the Factors of 5314?

Answer: Factors of 5314 are 1, 2, 2657, 5314. There are 4 integers that are factors of 5314. The greatest factor of 5314 is 5314.

3. What are the Factors of 5321?

Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.

4. How to Find the LCM of 5314 and 5321?

Answer:

Least Common Multiple of 5314 and 5321 = 28275794

Step 1: Find the prime factorization of 5314

5314 = 2 x 2657

Step 2: Find the prime factorization of 5321

5321 = 17 x 313

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

LCM = 28275794 = 2 x 17 x 313 x 2657

Step 4: Therefore, the least common multiple of 5314 and 5321 is 28275794.