Least Common Multiple of 7441 and 7445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7441 and 7445 the smallest integer that is 55398245 that is divisible by both numbers.

Least Common Multiple (LCM) of 7441 and 7445 is 55398245.

LCM(7441,7445) = 55398245

LCM of 7441 and 7445

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

LCM of:
and

Least Common Multiple of 7441 and 7445

LCM of 7441 and 7445 is 55398245

Least common multiple can be found by multiplying the highest exponent prime factors of 7441 and 7445. First we will calculate the prime factors of 7441 and 7445.

Prime Factorization of 7441


7 7441
1063 1063
1

Prime factors of 7441 are 7,1063. Prime factorization of 7441 in exponential form is:

7441 = 71×10631

Prime Factorization of 7445


5 7445
1489 1489
1

Prime factors of 7445 are 5,1489. Prime factorization of 7445 in exponential form is:

7445 = 51×14891

Now multiplying the highest exponent prime factors to calculate the LCM of 7441 and 7445.

LCM(7441,7445) = 51×71×10631×14891
LCM(7441,7445) = 55398245

Factors of 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1, 7, 1063, 7441

Factors of 7445

List of positive integer factors of 7445 that divides 7445 without a remainder.

1, 5, 1489, 7445

Least Common Multiple of 7441 and 7445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7441 and 7445, than apply into the LCM equation.

GCF(7441,7445) = 1
LCM(7441,7445) = ( 7441 × 7445) / 1
LCM(7441,7445) = 55398245 / 1
LCM(7441,7445) = 55398245

Properties of LCM 7441 and 7445

(i) The LCM of 7445 and 7441 is associative

LCM of 7441 and 7445 = LCM of 7445 and 7441

Related Least Common Multiples of 7441

Related Least Common Multiples of 7445

Frequently Asked Questions on LCM of 7441 and 7445

1. What is the LCM of 7441 and 7445?

Answer: LCM of 7441 and 7445 is 55398245.

2. What are the Factors of 7441?

Answer: Factors of 7441 are 1, 7, 1063, 7441. There are 4 integers that are factors of 7441. The greatest factor of 7441 is 7441.

3. What are the Factors of 7445?

Answer: Factors of 7445 are 1, 5, 1489, 7445. There are 4 integers that are factors of 7445. The greatest factor of 7445 is 7445.

4. How to Find the LCM of 7441 and 7445?

Answer:

Least Common Multiple of 7441 and 7445 = 55398245

Step 1: Find the prime factorization of 7441

7441 = 7 x 1063

Step 2: Find the prime factorization of 7445

7445 = 5 x 1489

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

LCM = 55398245 = 5 x 7 x 1063 x 1489

Step 4: Therefore, the least common multiple of 7441 and 7445 is 55398245.