Least Common Multiple of 5279 and 5287

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 5287 the smallest integer that is 27910073 that is divisible by both numbers.

Least Common Multiple (LCM) of 5279 and 5287 is 27910073.

LCM(5279,5287) = 27910073

LCM of 5279 and 5287

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

LCM of:
and

Least Common Multiple of 5279 and 5287

LCM of 5279 and 5287 is 27910073

Least common multiple can be found by multiplying the highest exponent prime factors of 5279 and 5287. First we will calculate the prime factors of 5279 and 5287.

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 5287


17 5287
311 311
1

Prime factors of 5287 are 17,311. Prime factorization of 5287 in exponential form is:

5287 = 171×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 5279 and 5287.

LCM(5279,5287) = 171×3111×52791
LCM(5279,5287) = 27910073

Factors of 5279

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

1, 5279

Factors of 5287

List of positive integer factors of 5287 that divides 5287 without a remainder.

1, 17, 311, 5287

Least Common Multiple of 5279 and 5287 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 5287, than apply into the LCM equation.

GCF(5279,5287) = 1
LCM(5279,5287) = ( 5279 × 5287) / 1
LCM(5279,5287) = 27910073 / 1
LCM(5279,5287) = 27910073

Properties of LCM 5279 and 5287

(i) The LCM of 5287 and 5279 is associative

LCM of 5279 and 5287 = LCM of 5287 and 5279

Related Least Common Multiples of 5279

Related Least Common Multiples of 5287

Frequently Asked Questions on LCM of 5279 and 5287

1. What is the LCM of 5279 and 5287?

Answer: LCM of 5279 and 5287 is 27910073.

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 5287?

Answer: Factors of 5287 are 1, 17, 311, 5287. There are 4 integers that are factors of 5287. The greatest factor of 5287 is 5287.

4. How to Find the LCM of 5279 and 5287?

Answer:

Least Common Multiple of 5279 and 5287 = 27910073

Step 1: Find the prime factorization of 5279

5279 = 5279

Step 2: Find the prime factorization of 5287

5287 = 17 x 311

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

LCM = 27910073 = 17 x 311 x 5279

Step 4: Therefore, the least common multiple of 5279 and 5287 is 27910073.