Least Common Multiple of 5273 and 5281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5273 and 5281 the smallest integer that is 27846713 that is divisible by both numbers.

Least Common Multiple (LCM) of 5273 and 5281 is 27846713.

LCM(5273,5281) = 27846713

LCM of 5273 and 5281

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

LCM of:
and

Least Common Multiple of 5273 and 5281

LCM of 5273 and 5281 is 27846713

Least common multiple can be found by multiplying the highest exponent prime factors of 5273 and 5281. First we will calculate the prime factors of 5273 and 5281.

Prime Factorization of 5273


5273 5273
1

Prime factors of 5273 are 5273. Prime factorization of 5273 in exponential form is:

5273 = 52731

Prime Factorization of 5281


5281 5281
1

Prime factors of 5281 are 5281. Prime factorization of 5281 in exponential form is:

5281 = 52811

Now multiplying the highest exponent prime factors to calculate the LCM of 5273 and 5281.

LCM(5273,5281) = 52731×52811
LCM(5273,5281) = 27846713

Factors of 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1, 5273

Factors of 5281

List of positive integer factors of 5281 that divides 5281 without a remainder.

1, 5281

Least Common Multiple of 5273 and 5281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5273 and 5281, than apply into the LCM equation.

GCF(5273,5281) = 1
LCM(5273,5281) = ( 5273 × 5281) / 1
LCM(5273,5281) = 27846713 / 1
LCM(5273,5281) = 27846713

Properties of LCM 5273 and 5281

(i) The LCM of 5281 and 5273 is associative

LCM of 5273 and 5281 = LCM of 5281 and 5273

Related Least Common Multiples of 5273

Related Least Common Multiples of 5281

Frequently Asked Questions on LCM of 5273 and 5281

1. What is the LCM of 5273 and 5281?

Answer: LCM of 5273 and 5281 is 27846713.

2. What are the Factors of 5273?

Answer: Factors of 5273 are 1, 5273. There are 2 integers that are factors of 5273. The greatest factor of 5273 is 5273.

3. What are the Factors of 5281?

Answer: Factors of 5281 are 1, 5281. There are 2 integers that are factors of 5281. The greatest factor of 5281 is 5281.

4. How to Find the LCM of 5273 and 5281?

Answer:

Least Common Multiple of 5273 and 5281 = 27846713

Step 1: Find the prime factorization of 5273

5273 = 5273

Step 2: Find the prime factorization of 5281

5281 = 5281

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

LCM = 27846713 = 5273 x 5281

Step 4: Therefore, the least common multiple of 5273 and 5281 is 27846713.