Least Common Multiple of 5230 and 5237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5230 and 5237 the smallest integer that is 27389510 that is divisible by both numbers.

Least Common Multiple (LCM) of 5230 and 5237 is 27389510.

LCM(5230,5237) = 27389510

LCM of 5230 and 5237

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

LCM of:
and

Least Common Multiple of 5230 and 5237

LCM of 5230 and 5237 is 27389510

Least common multiple can be found by multiplying the highest exponent prime factors of 5230 and 5237. First we will calculate the prime factors of 5230 and 5237.

Prime Factorization of 5230


2 5230
5 2615
523 523
1

Prime factors of 5230 are 2, 5,523. Prime factorization of 5230 in exponential form is:

5230 = 21×51×5231

Prime Factorization of 5237


5237 5237
1

Prime factors of 5237 are 5237. Prime factorization of 5237 in exponential form is:

5237 = 52371

Now multiplying the highest exponent prime factors to calculate the LCM of 5230 and 5237.

LCM(5230,5237) = 21×51×5231×52371
LCM(5230,5237) = 27389510

Factors of 5230

List of positive integer factors of 5230 that divides 5230 without a remainder.

1, 2, 5, 10, 523, 1046, 2615, 5230

Factors of 5237

List of positive integer factors of 5237 that divides 5237 without a remainder.

1, 5237

Least Common Multiple of 5230 and 5237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5230 and 5237, than apply into the LCM equation.

GCF(5230,5237) = 1
LCM(5230,5237) = ( 5230 × 5237) / 1
LCM(5230,5237) = 27389510 / 1
LCM(5230,5237) = 27389510

Properties of LCM 5230 and 5237

(i) The LCM of 5237 and 5230 is associative

LCM of 5230 and 5237 = LCM of 5237 and 5230

Related Least Common Multiples of 5230

Related Least Common Multiples of 5237

Frequently Asked Questions on LCM of 5230 and 5237

1. What is the LCM of 5230 and 5237?

Answer: LCM of 5230 and 5237 is 27389510.

2. What are the Factors of 5230?

Answer: Factors of 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230. There are 8 integers that are factors of 5230. The greatest factor of 5230 is 5230.

3. What are the Factors of 5237?

Answer: Factors of 5237 are 1, 5237. There are 2 integers that are factors of 5237. The greatest factor of 5237 is 5237.

4. How to Find the LCM of 5230 and 5237?

Answer:

Least Common Multiple of 5230 and 5237 = 27389510

Step 1: Find the prime factorization of 5230

5230 = 2 x 5 x 523

Step 2: Find the prime factorization of 5237

5237 = 5237

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

LCM = 27389510 = 2 x 5 x 523 x 5237

Step 4: Therefore, the least common multiple of 5230 and 5237 is 27389510.