Least Common Multiple of 7229 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 7229 and 7233 the smallest integer that is 52287357 that is divisible by both numbers.

Least Common Multiple (LCM) of 7229 and 7233 is 52287357.

LCM(7229,7233) = 52287357

LCM of 7229 and 7233

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

LCM of:
and

Least Common Multiple of 7229 and 7233

LCM of 7229 and 7233 is 52287357

Least common multiple can be found by multiplying the highest exponent prime factors of 7229 and 7233. First we will calculate the prime factors of 7229 and 7233.

Prime Factorization of 7229


7229 7229
1

Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:

7229 = 72291

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 7229 and 7233.

LCM(7229,7233) = 31×24111×72291
LCM(7229,7233) = 52287357

Factors of 7229

List of positive integer factors of 7229 that divides 7229 without a remainder.

1, 7229

Factors of 7233

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

1, 3, 2411, 7233

Least Common Multiple of 7229 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 7229 and 7233, than apply into the LCM equation.

GCF(7229,7233) = 1
LCM(7229,7233) = ( 7229 × 7233) / 1
LCM(7229,7233) = 52287357 / 1
LCM(7229,7233) = 52287357

Properties of LCM 7229 and 7233

(i) The LCM of 7233 and 7229 is associative

LCM of 7229 and 7233 = LCM of 7233 and 7229

Related Least Common Multiples of 7229

Related Least Common Multiples of 7233

Frequently Asked Questions on LCM of 7229 and 7233

1. What is the LCM of 7229 and 7233?

Answer: LCM of 7229 and 7233 is 52287357.

2. What are the Factors of 7229?

Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.

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 7229 and 7233?

Answer:

Least Common Multiple of 7229 and 7233 = 52287357

Step 1: Find the prime factorization of 7229

7229 = 7229

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 = 52287357 = 3 x 2411 x 7229

Step 4: Therefore, the least common multiple of 7229 and 7233 is 52287357.