Least Common Multiple of 9440 and 9445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9440 and 9445 the smallest integer that is 17832160 that is divisible by both numbers.

Least Common Multiple (LCM) of 9440 and 9445 is 17832160.

LCM(9440,9445) = 17832160

LCM of 9440 and 9445

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

LCM of:
and

Least Common Multiple of 9440 and 9445

LCM of 9440 and 9445 is 17832160

Least common multiple can be found by multiplying the highest exponent prime factors of 9440 and 9445. First we will calculate the prime factors of 9440 and 9445.

Prime Factorization of 9440


2 9440
2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 9440 are 2, 5,59. Prime factorization of 9440 in exponential form is:

9440 = 25×51×591

Prime Factorization of 9445


5 9445
1889 1889
1

Prime factors of 9445 are 5,1889. Prime factorization of 9445 in exponential form is:

9445 = 51×18891

Now multiplying the highest exponent prime factors to calculate the LCM of 9440 and 9445.

LCM(9440,9445) = 25×51×591×18891
LCM(9440,9445) = 17832160

Factors of 9440

List of positive integer factors of 9440 that divides 9440 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440

Factors of 9445

List of positive integer factors of 9445 that divides 9445 without a remainder.

1, 5, 1889, 9445

Least Common Multiple of 9440 and 9445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9440 and 9445, than apply into the LCM equation.

GCF(9440,9445) = 5
LCM(9440,9445) = ( 9440 × 9445) / 5
LCM(9440,9445) = 89160800 / 5
LCM(9440,9445) = 17832160

Properties of LCM 9440 and 9445

(i) The LCM of 9445 and 9440 is associative

LCM of 9440 and 9445 = LCM of 9445 and 9440

Related Least Common Multiples of 9440

Related Least Common Multiples of 9445

Frequently Asked Questions on LCM of 9440 and 9445

1. What is the LCM of 9440 and 9445?

Answer: LCM of 9440 and 9445 is 17832160.

2. What are the Factors of 9440?

Answer: Factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440. There are 24 integers that are factors of 9440. The greatest factor of 9440 is 9440.

3. What are the Factors of 9445?

Answer: Factors of 9445 are 1, 5, 1889, 9445. There are 4 integers that are factors of 9445. The greatest factor of 9445 is 9445.

4. How to Find the LCM of 9440 and 9445?

Answer:

Least Common Multiple of 9440 and 9445 = 17832160

Step 1: Find the prime factorization of 9440

9440 = 2 x 2 x 2 x 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 9445

9445 = 5 x 1889

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

LCM = 17832160 = 2 x 2 x 2 x 2 x 2 x 5 x 59 x 1889

Step 4: Therefore, the least common multiple of 9440 and 9445 is 17832160.