Least Common Multiple of 7226 and 7233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7226 and 7233 the smallest integer that is 52265658 that is divisible by both numbers.

Least Common Multiple (LCM) of 7226 and 7233 is 52265658.

LCM(7226,7233) = 52265658

LCM of 7226 and 7233

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

LCM of:
and

Least Common Multiple of 7226 and 7233

LCM of 7226 and 7233 is 52265658

Least common multiple can be found by multiplying the highest exponent prime factors of 7226 and 7233. First we will calculate the prime factors of 7226 and 7233.

Prime Factorization of 7226


2 7226
3613 3613
1

Prime factors of 7226 are 2,3613. Prime factorization of 7226 in exponential form is:

7226 = 21×36131

Prime Factorization of 7233


3 7233
2411 2411
1

Prime factors of 7233 are 3,2411. Prime factorization of 7233 in exponential form is:

7233 = 31×24111

Now multiplying the highest exponent prime factors to calculate the LCM of 7226 and 7233.

LCM(7226,7233) = 21×31×24111×36131
LCM(7226,7233) = 52265658

Factors of 7226

List of positive integer factors of 7226 that divides 7226 without a remainder.

1, 2, 3613, 7226

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1, 3, 2411, 7233

Least Common Multiple of 7226 and 7233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7226 and 7233, than apply into the LCM equation.

GCF(7226,7233) = 1
LCM(7226,7233) = ( 7226 × 7233) / 1
LCM(7226,7233) = 52265658 / 1
LCM(7226,7233) = 52265658

Properties of LCM 7226 and 7233

(i) The LCM of 7233 and 7226 is associative

LCM of 7226 and 7233 = LCM of 7233 and 7226

Related Least Common Multiples of 7226

Related Least Common Multiples of 7233

Frequently Asked Questions on LCM of 7226 and 7233

1. What is the LCM of 7226 and 7233?

Answer: LCM of 7226 and 7233 is 52265658.

2. What are the Factors of 7226?

Answer: Factors of 7226 are 1, 2, 3613, 7226. There are 4 integers that are factors of 7226. The greatest factor of 7226 is 7226.

3. What are the Factors of 7233?

Answer: Factors of 7233 are 1, 3, 2411, 7233. There are 4 integers that are factors of 7233. The greatest factor of 7233 is 7233.

4. How to Find the LCM of 7226 and 7233?

Answer:

Least Common Multiple of 7226 and 7233 = 52265658

Step 1: Find the prime factorization of 7226

7226 = 2 x 3613

Step 2: Find the prime factorization of 7233

7233 = 3 x 2411

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

LCM = 52265658 = 2 x 3 x 2411 x 3613

Step 4: Therefore, the least common multiple of 7226 and 7233 is 52265658.