Least Common Multiple of 9448 and 9454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9448 and 9454 the smallest integer that is 44660696 that is divisible by both numbers.

Least Common Multiple (LCM) of 9448 and 9454 is 44660696.

LCM(9448,9454) = 44660696

LCM of 9448 and 9454

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

LCM of:
and

Least Common Multiple of 9448 and 9454

LCM of 9448 and 9454 is 44660696

Least common multiple can be found by multiplying the highest exponent prime factors of 9448 and 9454. First we will calculate the prime factors of 9448 and 9454.

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

Prime Factorization of 9454


2 9454
29 4727
163 163
1

Prime factors of 9454 are 2, 29,163. Prime factorization of 9454 in exponential form is:

9454 = 21×291×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9448 and 9454.

LCM(9448,9454) = 23×291×1631×11811
LCM(9448,9454) = 44660696

Factors of 9448

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

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

Factors of 9454

List of positive integer factors of 9454 that divides 9454 without a remainder.

1, 2, 29, 58, 163, 326, 4727, 9454

Least Common Multiple of 9448 and 9454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9448 and 9454, than apply into the LCM equation.

GCF(9448,9454) = 2
LCM(9448,9454) = ( 9448 × 9454) / 2
LCM(9448,9454) = 89321392 / 2
LCM(9448,9454) = 44660696

Properties of LCM 9448 and 9454

(i) The LCM of 9454 and 9448 is associative

LCM of 9448 and 9454 = LCM of 9454 and 9448

Related Least Common Multiples of 9448

Related Least Common Multiples of 9454

Frequently Asked Questions on LCM of 9448 and 9454

1. What is the LCM of 9448 and 9454?

Answer: LCM of 9448 and 9454 is 44660696.

2. 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.

3. What are the Factors of 9454?

Answer: Factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454. There are 8 integers that are factors of 9454. The greatest factor of 9454 is 9454.

4. How to Find the LCM of 9448 and 9454?

Answer:

Least Common Multiple of 9448 and 9454 = 44660696

Step 1: Find the prime factorization of 9448

9448 = 2 x 2 x 2 x 1181

Step 2: Find the prime factorization of 9454

9454 = 2 x 29 x 163

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

LCM = 44660696 = 2 x 2 x 2 x 29 x 163 x 1181

Step 4: Therefore, the least common multiple of 9448 and 9454 is 44660696.