Least Common Multiple of 5230 and 5236

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 5236 the smallest integer that is 13692140 that is divisible by both numbers.

Least Common Multiple (LCM) of 5230 and 5236 is 13692140.

LCM(5230,5236) = 13692140

LCM of 5230 and 5236

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

LCM of:
and

Least Common Multiple of 5230 and 5236

LCM of 5230 and 5236 is 13692140

Least common multiple can be found by multiplying the highest exponent prime factors of 5230 and 5236. First we will calculate the prime factors of 5230 and 5236.

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 5236


2 5236
2 2618
7 1309
11 187
17 17
1

Prime factors of 5236 are 2, 7, 11,17. Prime factorization of 5236 in exponential form is:

5236 = 22×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5230 and 5236.

LCM(5230,5236) = 22×51×71×111×171×5231
LCM(5230,5236) = 13692140

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 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236

Least Common Multiple of 5230 and 5236 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 5236, than apply into the LCM equation.

GCF(5230,5236) = 2
LCM(5230,5236) = ( 5230 × 5236) / 2
LCM(5230,5236) = 27384280 / 2
LCM(5230,5236) = 13692140

Properties of LCM 5230 and 5236

(i) The LCM of 5236 and 5230 is associative

LCM of 5230 and 5236 = LCM of 5236 and 5230

Related Least Common Multiples of 5230

Related Least Common Multiples of 5236

Frequently Asked Questions on LCM of 5230 and 5236

1. What is the LCM of 5230 and 5236?

Answer: LCM of 5230 and 5236 is 13692140.

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 5236?

Answer: Factors of 5236 are 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236. There are 24 integers that are factors of 5236. The greatest factor of 5236 is 5236.

4. How to Find the LCM of 5230 and 5236?

Answer:

Least Common Multiple of 5230 and 5236 = 13692140

Step 1: Find the prime factorization of 5230

5230 = 2 x 5 x 523

Step 2: Find the prime factorization of 5236

5236 = 2 x 2 x 7 x 11 x 17

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

LCM = 13692140 = 2 x 2 x 5 x 7 x 11 x 17 x 523

Step 4: Therefore, the least common multiple of 5230 and 5236 is 13692140.