Least Common Multiple of 9436 and 9440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9436 and 9440 the smallest integer that is 22268960 that is divisible by both numbers.

Least Common Multiple (LCM) of 9436 and 9440 is 22268960.

LCM(9436,9440) = 22268960

LCM of 9436 and 9440

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

LCM of:
and

Least Common Multiple of 9436 and 9440

LCM of 9436 and 9440 is 22268960

Least common multiple can be found by multiplying the highest exponent prime factors of 9436 and 9440. First we will calculate the prime factors of 9436 and 9440.

Prime Factorization of 9436


2 9436
2 4718
7 2359
337 337
1

Prime factors of 9436 are 2, 7,337. Prime factorization of 9436 in exponential form is:

9436 = 22×71×3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9436 and 9440.

LCM(9436,9440) = 25×51×71×591×3371
LCM(9436,9440) = 22268960

Factors of 9436

List of positive integer factors of 9436 that divides 9436 without a remainder.

1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436

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

Least Common Multiple of 9436 and 9440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9436 and 9440, than apply into the LCM equation.

GCF(9436,9440) = 4
LCM(9436,9440) = ( 9436 × 9440) / 4
LCM(9436,9440) = 89075840 / 4
LCM(9436,9440) = 22268960

Properties of LCM 9436 and 9440

(i) The LCM of 9440 and 9436 is associative

LCM of 9436 and 9440 = LCM of 9440 and 9436

Related Least Common Multiples of 9436

Related Least Common Multiples of 9440

Frequently Asked Questions on LCM of 9436 and 9440

1. What is the LCM of 9436 and 9440?

Answer: LCM of 9436 and 9440 is 22268960.

2. What are the Factors of 9436?

Answer: Factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436. There are 12 integers that are factors of 9436. The greatest factor of 9436 is 9436.

3. 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.

4. How to Find the LCM of 9436 and 9440?

Answer:

Least Common Multiple of 9436 and 9440 = 22268960

Step 1: Find the prime factorization of 9436

9436 = 2 x 2 x 7 x 337

Step 2: Find the prime factorization of 9440

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

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

LCM = 22268960 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 59 x 337

Step 4: Therefore, the least common multiple of 9436 and 9440 is 22268960.