Least Common Multiple of 7233 and 7241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7233 and 7241 the smallest integer that is 52374153 that is divisible by both numbers.

Least Common Multiple (LCM) of 7233 and 7241 is 52374153.

LCM(7233,7241) = 52374153

LCM of 7233 and 7241

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

LCM of:
and

Least Common Multiple of 7233 and 7241

LCM of 7233 and 7241 is 52374153

Least common multiple can be found by multiplying the highest exponent prime factors of 7233 and 7241. First we will calculate the prime factors of 7233 and 7241.

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

Prime Factorization of 7241


13 7241
557 557
1

Prime factors of 7241 are 13,557. Prime factorization of 7241 in exponential form is:

7241 = 131×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 7233 and 7241.

LCM(7233,7241) = 31×131×5571×24111
LCM(7233,7241) = 52374153

Factors of 7233

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

1, 3, 2411, 7233

Factors of 7241

List of positive integer factors of 7241 that divides 7241 without a remainder.

1, 13, 557, 7241

Least Common Multiple of 7233 and 7241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7233 and 7241, than apply into the LCM equation.

GCF(7233,7241) = 1
LCM(7233,7241) = ( 7233 × 7241) / 1
LCM(7233,7241) = 52374153 / 1
LCM(7233,7241) = 52374153

Properties of LCM 7233 and 7241

(i) The LCM of 7241 and 7233 is associative

LCM of 7233 and 7241 = LCM of 7241 and 7233

Related Least Common Multiples of 7233

Related Least Common Multiples of 7241

Frequently Asked Questions on LCM of 7233 and 7241

1. What is the LCM of 7233 and 7241?

Answer: LCM of 7233 and 7241 is 52374153.

2. 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.

3. What are the Factors of 7241?

Answer: Factors of 7241 are 1, 13, 557, 7241. There are 4 integers that are factors of 7241. The greatest factor of 7241 is 7241.

4. How to Find the LCM of 7233 and 7241?

Answer:

Least Common Multiple of 7233 and 7241 = 52374153

Step 1: Find the prime factorization of 7233

7233 = 3 x 2411

Step 2: Find the prime factorization of 7241

7241 = 13 x 557

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

LCM = 52374153 = 3 x 13 x 557 x 2411

Step 4: Therefore, the least common multiple of 7233 and 7241 is 52374153.