Least Common Multiple of 7241 and 7245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7241 and 7245 the smallest integer that is 52461045 that is divisible by both numbers.

Least Common Multiple (LCM) of 7241 and 7245 is 52461045.

LCM(7241,7245) = 52461045

LCM of 7241 and 7245

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

LCM of:
and

Least Common Multiple of 7241 and 7245

LCM of 7241 and 7245 is 52461045

Least common multiple can be found by multiplying the highest exponent prime factors of 7241 and 7245. First we will calculate the prime factors of 7241 and 7245.

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

Prime Factorization of 7245


3 7245
3 2415
5 805
7 161
23 23
1

Prime factors of 7245 are 3, 5, 7,23. Prime factorization of 7245 in exponential form is:

7245 = 32×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7241 and 7245.

LCM(7241,7245) = 32×51×71×131×231×5571
LCM(7241,7245) = 52461045

Factors of 7241

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

1, 13, 557, 7241

Factors of 7245

List of positive integer factors of 7245 that divides 7245 without a remainder.

1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245

Least Common Multiple of 7241 and 7245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7241 and 7245, than apply into the LCM equation.

GCF(7241,7245) = 1
LCM(7241,7245) = ( 7241 × 7245) / 1
LCM(7241,7245) = 52461045 / 1
LCM(7241,7245) = 52461045

Properties of LCM 7241 and 7245

(i) The LCM of 7245 and 7241 is associative

LCM of 7241 and 7245 = LCM of 7245 and 7241

Related Least Common Multiples of 7241

Related Least Common Multiples of 7245

Frequently Asked Questions on LCM of 7241 and 7245

1. What is the LCM of 7241 and 7245?

Answer: LCM of 7241 and 7245 is 52461045.

2. 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.

3. What are the Factors of 7245?

Answer: Factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245. There are 24 integers that are factors of 7245. The greatest factor of 7245 is 7245.

4. How to Find the LCM of 7241 and 7245?

Answer:

Least Common Multiple of 7241 and 7245 = 52461045

Step 1: Find the prime factorization of 7241

7241 = 13 x 557

Step 2: Find the prime factorization of 7245

7245 = 3 x 3 x 5 x 7 x 23

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

LCM = 52461045 = 3 x 3 x 5 x 7 x 13 x 23 x 557

Step 4: Therefore, the least common multiple of 7241 and 7245 is 52461045.