Least Common Multiple of 5226 and 5233

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 5233 the smallest integer that is 27347658 that is divisible by both numbers.

Least Common Multiple (LCM) of 5226 and 5233 is 27347658.

LCM(5226,5233) = 27347658

LCM of 5226 and 5233

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

LCM of:
and

Least Common Multiple of 5226 and 5233

LCM of 5226 and 5233 is 27347658

Least common multiple can be found by multiplying the highest exponent prime factors of 5226 and 5233. First we will calculate the prime factors of 5226 and 5233.

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 5233


5233 5233
1

Prime factors of 5233 are 5233. Prime factorization of 5233 in exponential form is:

5233 = 52331

Now multiplying the highest exponent prime factors to calculate the LCM of 5226 and 5233.

LCM(5226,5233) = 21×31×131×671×52331
LCM(5226,5233) = 27347658

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 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1, 5233

Least Common Multiple of 5226 and 5233 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 5233, than apply into the LCM equation.

GCF(5226,5233) = 1
LCM(5226,5233) = ( 5226 × 5233) / 1
LCM(5226,5233) = 27347658 / 1
LCM(5226,5233) = 27347658

Properties of LCM 5226 and 5233

(i) The LCM of 5233 and 5226 is associative

LCM of 5226 and 5233 = LCM of 5233 and 5226

Related Least Common Multiples of 5226

Related Least Common Multiples of 5233

Frequently Asked Questions on LCM of 5226 and 5233

1. What is the LCM of 5226 and 5233?

Answer: LCM of 5226 and 5233 is 27347658.

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 5233?

Answer: Factors of 5233 are 1, 5233. There are 2 integers that are factors of 5233. The greatest factor of 5233 is 5233.

4. How to Find the LCM of 5226 and 5233?

Answer:

Least Common Multiple of 5226 and 5233 = 27347658

Step 1: Find the prime factorization of 5226

5226 = 2 x 3 x 13 x 67

Step 2: Find the prime factorization of 5233

5233 = 5233

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

LCM = 27347658 = 2 x 3 x 13 x 67 x 5233

Step 4: Therefore, the least common multiple of 5226 and 5233 is 27347658.