Least Common Multiple of 9440 and 9448

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 9448 the smallest integer that is 11148640 that is divisible by both numbers.

Least Common Multiple (LCM) of 9440 and 9448 is 11148640.

LCM(9440,9448) = 11148640

LCM of 9440 and 9448

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

LCM of:
and

Least Common Multiple of 9440 and 9448

LCM of 9440 and 9448 is 11148640

Least common multiple can be found by multiplying the highest exponent prime factors of 9440 and 9448. First we will calculate the prime factors of 9440 and 9448.

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 9448


2 9448
2 4724
2 2362
1181 1181
1

Prime factors of 9448 are 2,1181. Prime factorization of 9448 in exponential form is:

9448 = 23×11811

Now multiplying the highest exponent prime factors to calculate the LCM of 9440 and 9448.

LCM(9440,9448) = 25×51×591×11811
LCM(9440,9448) = 11148640

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 9448

List of positive integer factors of 9448 that divides 9448 without a remainder.

1, 2, 4, 8, 1181, 2362, 4724, 9448

Least Common Multiple of 9440 and 9448 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 9448, than apply into the LCM equation.

GCF(9440,9448) = 8
LCM(9440,9448) = ( 9440 × 9448) / 8
LCM(9440,9448) = 89189120 / 8
LCM(9440,9448) = 11148640

Properties of LCM 9440 and 9448

(i) The LCM of 9448 and 9440 is associative

LCM of 9440 and 9448 = LCM of 9448 and 9440

Related Least Common Multiples of 9440

Related Least Common Multiples of 9448

Frequently Asked Questions on LCM of 9440 and 9448

1. What is the LCM of 9440 and 9448?

Answer: LCM of 9440 and 9448 is 11148640.

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 9448?

Answer: Factors of 9448 are 1, 2, 4, 8, 1181, 2362, 4724, 9448. There are 8 integers that are factors of 9448. The greatest factor of 9448 is 9448.

4. How to Find the LCM of 9440 and 9448?

Answer:

Least Common Multiple of 9440 and 9448 = 11148640

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 9448

9448 = 2 x 2 x 2 x 1181

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

LCM = 11148640 = 2 x 2 x 2 x 2 x 2 x 5 x 59 x 1181

Step 4: Therefore, the least common multiple of 9440 and 9448 is 11148640.