Least Common Multiple of 5230 and 5235

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 5235 the smallest integer that is 5475810 that is divisible by both numbers.

Least Common Multiple (LCM) of 5230 and 5235 is 5475810.

LCM(5230,5235) = 5475810

LCM of 5230 and 5235

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

LCM of:
and

Least Common Multiple of 5230 and 5235

LCM of 5230 and 5235 is 5475810

Least common multiple can be found by multiplying the highest exponent prime factors of 5230 and 5235. First we will calculate the prime factors of 5230 and 5235.

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 5235


3 5235
5 1745
349 349
1

Prime factors of 5235 are 3, 5,349. Prime factorization of 5235 in exponential form is:

5235 = 31×51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5230 and 5235.

LCM(5230,5235) = 21×31×51×3491×5231
LCM(5230,5235) = 5475810

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 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1, 3, 5, 15, 349, 1047, 1745, 5235

Least Common Multiple of 5230 and 5235 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 5235, than apply into the LCM equation.

GCF(5230,5235) = 5
LCM(5230,5235) = ( 5230 × 5235) / 5
LCM(5230,5235) = 27379050 / 5
LCM(5230,5235) = 5475810

Properties of LCM 5230 and 5235

(i) The LCM of 5235 and 5230 is associative

LCM of 5230 and 5235 = LCM of 5235 and 5230

Related Least Common Multiples of 5230

Related Least Common Multiples of 5235

Frequently Asked Questions on LCM of 5230 and 5235

1. What is the LCM of 5230 and 5235?

Answer: LCM of 5230 and 5235 is 5475810.

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 5235?

Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.

4. How to Find the LCM of 5230 and 5235?

Answer:

Least Common Multiple of 5230 and 5235 = 5475810

Step 1: Find the prime factorization of 5230

5230 = 2 x 5 x 523

Step 2: Find the prime factorization of 5235

5235 = 3 x 5 x 349

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

LCM = 5475810 = 2 x 3 x 5 x 349 x 523

Step 4: Therefore, the least common multiple of 5230 and 5235 is 5475810.