Least Common Multiple of 5226 and 5230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5226 and 5230 the smallest integer that is 13665990 that is divisible by both numbers.

Least Common Multiple (LCM) of 5226 and 5230 is 13665990.

LCM(5226,5230) = 13665990

LCM of 5226 and 5230

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

LCM of:
and

Least Common Multiple of 5226 and 5230

LCM of 5226 and 5230 is 13665990

Least common multiple can be found by multiplying the highest exponent prime factors of 5226 and 5230. First we will calculate the prime factors of 5226 and 5230.

Prime Factorization of 5226


2 5226
3 2613
13 871
67 67
1

Prime factors of 5226 are 2, 3, 13,67. Prime factorization of 5226 in exponential form is:

5226 = 21×31×131×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5226 and 5230.

LCM(5226,5230) = 21×31×51×131×671×5231
LCM(5226,5230) = 13665990

Factors of 5226

List of positive integer factors of 5226 that divides 5226 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226

Factors of 5230

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

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

Least Common Multiple of 5226 and 5230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5226 and 5230, than apply into the LCM equation.

GCF(5226,5230) = 2
LCM(5226,5230) = ( 5226 × 5230) / 2
LCM(5226,5230) = 27331980 / 2
LCM(5226,5230) = 13665990

Properties of LCM 5226 and 5230

(i) The LCM of 5230 and 5226 is associative

LCM of 5226 and 5230 = LCM of 5230 and 5226

Related Least Common Multiples of 5226

Related Least Common Multiples of 5230

Frequently Asked Questions on LCM of 5226 and 5230

1. What is the LCM of 5226 and 5230?

Answer: LCM of 5226 and 5230 is 13665990.

2. What are the Factors of 5226?

Answer: Factors of 5226 are 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 201, 402, 871, 1742, 2613, 5226. There are 16 integers that are factors of 5226. The greatest factor of 5226 is 5226.

3. 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.

4. How to Find the LCM of 5226 and 5230?

Answer:

Least Common Multiple of 5226 and 5230 = 13665990

Step 1: Find the prime factorization of 5226

5226 = 2 x 3 x 13 x 67

Step 2: Find the prime factorization of 5230

5230 = 2 x 5 x 523

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

LCM = 13665990 = 2 x 3 x 5 x 13 x 67 x 523

Step 4: Therefore, the least common multiple of 5226 and 5230 is 13665990.