Least Common Multiple of 9448 and 9452

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 9452 the smallest integer that is 22325624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9448 and 9452 is 22325624.

LCM(9448,9452) = 22325624

LCM of 9448 and 9452

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

LCM of:
and

Least Common Multiple of 9448 and 9452

LCM of 9448 and 9452 is 22325624

Least common multiple can be found by multiplying the highest exponent prime factors of 9448 and 9452. First we will calculate the prime factors of 9448 and 9452.

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 9452


2 9452
2 4726
17 2363
139 139
1

Prime factors of 9452 are 2, 17,139. Prime factorization of 9452 in exponential form is:

9452 = 22×171×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9448 and 9452.

LCM(9448,9452) = 23×171×1391×11811
LCM(9448,9452) = 22325624

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 9452

List of positive integer factors of 9452 that divides 9452 without a remainder.

1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452

Least Common Multiple of 9448 and 9452 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 9452, than apply into the LCM equation.

GCF(9448,9452) = 4
LCM(9448,9452) = ( 9448 × 9452) / 4
LCM(9448,9452) = 89302496 / 4
LCM(9448,9452) = 22325624

Properties of LCM 9448 and 9452

(i) The LCM of 9452 and 9448 is associative

LCM of 9448 and 9452 = LCM of 9452 and 9448

Related Least Common Multiples of 9448

Related Least Common Multiples of 9452

Frequently Asked Questions on LCM of 9448 and 9452

1. What is the LCM of 9448 and 9452?

Answer: LCM of 9448 and 9452 is 22325624.

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 9452?

Answer: Factors of 9452 are 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452. There are 12 integers that are factors of 9452. The greatest factor of 9452 is 9452.

4. How to Find the LCM of 9448 and 9452?

Answer:

Least Common Multiple of 9448 and 9452 = 22325624

Step 1: Find the prime factorization of 9448

9448 = 2 x 2 x 2 x 1181

Step 2: Find the prime factorization of 9452

9452 = 2 x 2 x 17 x 139

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

LCM = 22325624 = 2 x 2 x 2 x 17 x 139 x 1181

Step 4: Therefore, the least common multiple of 9448 and 9452 is 22325624.