Least Common Multiple of 5277 and 5284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5277 and 5284 the smallest integer that is 27883668 that is divisible by both numbers.

Least Common Multiple (LCM) of 5277 and 5284 is 27883668.

LCM(5277,5284) = 27883668

LCM of 5277 and 5284

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

LCM of:
and

Least Common Multiple of 5277 and 5284

LCM of 5277 and 5284 is 27883668

Least common multiple can be found by multiplying the highest exponent prime factors of 5277 and 5284. First we will calculate the prime factors of 5277 and 5284.

Prime Factorization of 5277


3 5277
1759 1759
1

Prime factors of 5277 are 3,1759. Prime factorization of 5277 in exponential form is:

5277 = 31×17591

Prime Factorization of 5284


2 5284
2 2642
1321 1321
1

Prime factors of 5284 are 2,1321. Prime factorization of 5284 in exponential form is:

5284 = 22×13211

Now multiplying the highest exponent prime factors to calculate the LCM of 5277 and 5284.

LCM(5277,5284) = 22×31×13211×17591
LCM(5277,5284) = 27883668

Factors of 5277

List of positive integer factors of 5277 that divides 5277 without a remainder.

1, 3, 1759, 5277

Factors of 5284

List of positive integer factors of 5284 that divides 5284 without a remainder.

1, 2, 4, 1321, 2642, 5284

Least Common Multiple of 5277 and 5284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5277 and 5284, than apply into the LCM equation.

GCF(5277,5284) = 1
LCM(5277,5284) = ( 5277 × 5284) / 1
LCM(5277,5284) = 27883668 / 1
LCM(5277,5284) = 27883668

Properties of LCM 5277 and 5284

(i) The LCM of 5284 and 5277 is associative

LCM of 5277 and 5284 = LCM of 5284 and 5277

Related Least Common Multiples of 5277

Related Least Common Multiples of 5284

Frequently Asked Questions on LCM of 5277 and 5284

1. What is the LCM of 5277 and 5284?

Answer: LCM of 5277 and 5284 is 27883668.

2. What are the Factors of 5277?

Answer: Factors of 5277 are 1, 3, 1759, 5277. There are 4 integers that are factors of 5277. The greatest factor of 5277 is 5277.

3. What are the Factors of 5284?

Answer: Factors of 5284 are 1, 2, 4, 1321, 2642, 5284. There are 6 integers that are factors of 5284. The greatest factor of 5284 is 5284.

4. How to Find the LCM of 5277 and 5284?

Answer:

Least Common Multiple of 5277 and 5284 = 27883668

Step 1: Find the prime factorization of 5277

5277 = 3 x 1759

Step 2: Find the prime factorization of 5284

5284 = 2 x 2 x 1321

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

LCM = 27883668 = 2 x 2 x 3 x 1321 x 1759

Step 4: Therefore, the least common multiple of 5277 and 5284 is 27883668.