Least Common Multiple of 7234 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 7234 and 7241 the smallest integer that is 52381394 that is divisible by both numbers.

Least Common Multiple (LCM) of 7234 and 7241 is 52381394.

LCM(7234,7241) = 52381394

LCM of 7234 and 7241

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

LCM of:
and

Least Common Multiple of 7234 and 7241

LCM of 7234 and 7241 is 52381394

Least common multiple can be found by multiplying the highest exponent prime factors of 7234 and 7241. First we will calculate the prime factors of 7234 and 7241.

Prime Factorization of 7234


2 7234
3617 3617
1

Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:

7234 = 21×36171

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 7234 and 7241.

LCM(7234,7241) = 21×131×5571×36171
LCM(7234,7241) = 52381394

Factors of 7234

List of positive integer factors of 7234 that divides 7234 without a remainder.

1, 2, 3617, 7234

Factors of 7241

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

1, 13, 557, 7241

Least Common Multiple of 7234 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 7234 and 7241, than apply into the LCM equation.

GCF(7234,7241) = 1
LCM(7234,7241) = ( 7234 × 7241) / 1
LCM(7234,7241) = 52381394 / 1
LCM(7234,7241) = 52381394

Properties of LCM 7234 and 7241

(i) The LCM of 7241 and 7234 is associative

LCM of 7234 and 7241 = LCM of 7241 and 7234

Related Least Common Multiples of 7234

Related Least Common Multiples of 7241

Frequently Asked Questions on LCM of 7234 and 7241

1. What is the LCM of 7234 and 7241?

Answer: LCM of 7234 and 7241 is 52381394.

2. What are the Factors of 7234?

Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.

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 7234 and 7241?

Answer:

Least Common Multiple of 7234 and 7241 = 52381394

Step 1: Find the prime factorization of 7234

7234 = 2 x 3617

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 = 52381394 = 2 x 13 x 557 x 3617

Step 4: Therefore, the least common multiple of 7234 and 7241 is 52381394.