Least Common Multiple of 9441 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 9441 and 9448 the smallest integer that is 89198568 that is divisible by both numbers.

Least Common Multiple (LCM) of 9441 and 9448 is 89198568.

LCM(9441,9448) = 89198568

LCM of 9441 and 9448

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

LCM of:
and

Least Common Multiple of 9441 and 9448

LCM of 9441 and 9448 is 89198568

Least common multiple can be found by multiplying the highest exponent prime factors of 9441 and 9448. First we will calculate the prime factors of 9441 and 9448.

Prime Factorization of 9441


3 9441
3 3147
1049 1049
1

Prime factors of 9441 are 3,1049. Prime factorization of 9441 in exponential form is:

9441 = 32×10491

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 9441 and 9448.

LCM(9441,9448) = 23×32×10491×11811
LCM(9441,9448) = 89198568

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1, 3, 9, 1049, 3147, 9441

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 9441 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 9441 and 9448, than apply into the LCM equation.

GCF(9441,9448) = 1
LCM(9441,9448) = ( 9441 × 9448) / 1
LCM(9441,9448) = 89198568 / 1
LCM(9441,9448) = 89198568

Properties of LCM 9441 and 9448

(i) The LCM of 9448 and 9441 is associative

LCM of 9441 and 9448 = LCM of 9448 and 9441

Related Least Common Multiples of 9441

Related Least Common Multiples of 9448

Frequently Asked Questions on LCM of 9441 and 9448

1. What is the LCM of 9441 and 9448?

Answer: LCM of 9441 and 9448 is 89198568.

2. What are the Factors of 9441?

Answer: Factors of 9441 are 1, 3, 9, 1049, 3147, 9441. There are 6 integers that are factors of 9441. The greatest factor of 9441 is 9441.

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 9441 and 9448?

Answer:

Least Common Multiple of 9441 and 9448 = 89198568

Step 1: Find the prime factorization of 9441

9441 = 3 x 3 x 1049

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 = 89198568 = 2 x 2 x 2 x 3 x 3 x 1049 x 1181

Step 4: Therefore, the least common multiple of 9441 and 9448 is 89198568.