Least Common Multiple of 5279 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 5279 and 5284 the smallest integer that is 27894236 that is divisible by both numbers.

Least Common Multiple (LCM) of 5279 and 5284 is 27894236.

LCM(5279,5284) = 27894236

LCM of 5279 and 5284

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

LCM of:
and

Least Common Multiple of 5279 and 5284

LCM of 5279 and 5284 is 27894236

Least common multiple can be found by multiplying the highest exponent prime factors of 5279 and 5284. First we will calculate the prime factors of 5279 and 5284.

Prime Factorization of 5279


5279 5279
1

Prime factors of 5279 are 5279. Prime factorization of 5279 in exponential form is:

5279 = 52791

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 5279 and 5284.

LCM(5279,5284) = 22×13211×52791
LCM(5279,5284) = 27894236

Factors of 5279

List of positive integer factors of 5279 that divides 5279 without a remainder.

1, 5279

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 5279 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 5279 and 5284, than apply into the LCM equation.

GCF(5279,5284) = 1
LCM(5279,5284) = ( 5279 × 5284) / 1
LCM(5279,5284) = 27894236 / 1
LCM(5279,5284) = 27894236

Properties of LCM 5279 and 5284

(i) The LCM of 5284 and 5279 is associative

LCM of 5279 and 5284 = LCM of 5284 and 5279

Related Least Common Multiples of 5279

Related Least Common Multiples of 5284

Frequently Asked Questions on LCM of 5279 and 5284

1. What is the LCM of 5279 and 5284?

Answer: LCM of 5279 and 5284 is 27894236.

2. What are the Factors of 5279?

Answer: Factors of 5279 are 1, 5279. There are 2 integers that are factors of 5279. The greatest factor of 5279 is 5279.

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 5279 and 5284?

Answer:

Least Common Multiple of 5279 and 5284 = 27894236

Step 1: Find the prime factorization of 5279

5279 = 5279

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 = 27894236 = 2 x 2 x 1321 x 5279

Step 4: Therefore, the least common multiple of 5279 and 5284 is 27894236.