Least Common Multiple of 5279 and 5285

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 5285 the smallest integer that is 27899515 that is divisible by both numbers.

Least Common Multiple (LCM) of 5279 and 5285 is 27899515.

LCM(5279,5285) = 27899515

LCM of 5279 and 5285

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

LCM of:
and

Least Common Multiple of 5279 and 5285

LCM of 5279 and 5285 is 27899515

Least common multiple can be found by multiplying the highest exponent prime factors of 5279 and 5285. First we will calculate the prime factors of 5279 and 5285.

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 5285


5 5285
7 1057
151 151
1

Prime factors of 5285 are 5, 7,151. Prime factorization of 5285 in exponential form is:

5285 = 51×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5279 and 5285.

LCM(5279,5285) = 51×71×1511×52791
LCM(5279,5285) = 27899515

Factors of 5279

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

1, 5279

Factors of 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1, 5, 7, 35, 151, 755, 1057, 5285

Least Common Multiple of 5279 and 5285 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 5285, than apply into the LCM equation.

GCF(5279,5285) = 1
LCM(5279,5285) = ( 5279 × 5285) / 1
LCM(5279,5285) = 27899515 / 1
LCM(5279,5285) = 27899515

Properties of LCM 5279 and 5285

(i) The LCM of 5285 and 5279 is associative

LCM of 5279 and 5285 = LCM of 5285 and 5279

Related Least Common Multiples of 5279

Related Least Common Multiples of 5285

Frequently Asked Questions on LCM of 5279 and 5285

1. What is the LCM of 5279 and 5285?

Answer: LCM of 5279 and 5285 is 27899515.

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 5285?

Answer: Factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285. There are 8 integers that are factors of 5285. The greatest factor of 5285 is 5285.

4. How to Find the LCM of 5279 and 5285?

Answer:

Least Common Multiple of 5279 and 5285 = 27899515

Step 1: Find the prime factorization of 5279

5279 = 5279

Step 2: Find the prime factorization of 5285

5285 = 5 x 7 x 151

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

LCM = 27899515 = 5 x 7 x 151 x 5279

Step 4: Therefore, the least common multiple of 5279 and 5285 is 27899515.