Least Common Multiple of 5277 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 5277 and 5285 the smallest integer that is 27888945 that is divisible by both numbers.

Least Common Multiple (LCM) of 5277 and 5285 is 27888945.

LCM(5277,5285) = 27888945

LCM of 5277 and 5285

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

LCM of:
and

Least Common Multiple of 5277 and 5285

LCM of 5277 and 5285 is 27888945

Least common multiple can be found by multiplying the highest exponent prime factors of 5277 and 5285. First we will calculate the prime factors of 5277 and 5285.

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 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 5277 and 5285.

LCM(5277,5285) = 31×51×71×1511×17591
LCM(5277,5285) = 27888945

Factors of 5277

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

1, 3, 1759, 5277

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 5277 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 5277 and 5285, than apply into the LCM equation.

GCF(5277,5285) = 1
LCM(5277,5285) = ( 5277 × 5285) / 1
LCM(5277,5285) = 27888945 / 1
LCM(5277,5285) = 27888945

Properties of LCM 5277 and 5285

(i) The LCM of 5285 and 5277 is associative

LCM of 5277 and 5285 = LCM of 5285 and 5277

Related Least Common Multiples of 5277

Related Least Common Multiples of 5285

Frequently Asked Questions on LCM of 5277 and 5285

1. What is the LCM of 5277 and 5285?

Answer: LCM of 5277 and 5285 is 27888945.

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 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 5277 and 5285?

Answer:

Least Common Multiple of 5277 and 5285 = 27888945

Step 1: Find the prime factorization of 5277

5277 = 3 x 1759

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 = 27888945 = 3 x 5 x 7 x 151 x 1759

Step 4: Therefore, the least common multiple of 5277 and 5285 is 27888945.