Least Common Multiple of 9440 and 9446

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 9446 the smallest integer that is 44585120 that is divisible by both numbers.

Least Common Multiple (LCM) of 9440 and 9446 is 44585120.

LCM(9440,9446) = 44585120

LCM of 9440 and 9446

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

LCM of:
and

Least Common Multiple of 9440 and 9446

LCM of 9440 and 9446 is 44585120

Least common multiple can be found by multiplying the highest exponent prime factors of 9440 and 9446. First we will calculate the prime factors of 9440 and 9446.

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 9446


2 9446
4723 4723
1

Prime factors of 9446 are 2,4723. Prime factorization of 9446 in exponential form is:

9446 = 21×47231

Now multiplying the highest exponent prime factors to calculate the LCM of 9440 and 9446.

LCM(9440,9446) = 25×51×591×47231
LCM(9440,9446) = 44585120

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 9446

List of positive integer factors of 9446 that divides 9446 without a remainder.

1, 2, 4723, 9446

Least Common Multiple of 9440 and 9446 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 9446, than apply into the LCM equation.

GCF(9440,9446) = 2
LCM(9440,9446) = ( 9440 × 9446) / 2
LCM(9440,9446) = 89170240 / 2
LCM(9440,9446) = 44585120

Properties of LCM 9440 and 9446

(i) The LCM of 9446 and 9440 is associative

LCM of 9440 and 9446 = LCM of 9446 and 9440

Related Least Common Multiples of 9440

Related Least Common Multiples of 9446

Frequently Asked Questions on LCM of 9440 and 9446

1. What is the LCM of 9440 and 9446?

Answer: LCM of 9440 and 9446 is 44585120.

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 9446?

Answer: Factors of 9446 are 1, 2, 4723, 9446. There are 4 integers that are factors of 9446. The greatest factor of 9446 is 9446.

4. How to Find the LCM of 9440 and 9446?

Answer:

Least Common Multiple of 9440 and 9446 = 44585120

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 9446

9446 = 2 x 4723

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

LCM = 44585120 = 2 x 2 x 2 x 2 x 2 x 5 x 59 x 4723

Step 4: Therefore, the least common multiple of 9440 and 9446 is 44585120.