Least Common Multiple of 9442 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 9442 and 9448 the smallest integer that is 44604008 that is divisible by both numbers.

Least Common Multiple (LCM) of 9442 and 9448 is 44604008.

LCM(9442,9448) = 44604008

LCM of 9442 and 9448

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

LCM of:
and

Least Common Multiple of 9442 and 9448

LCM of 9442 and 9448 is 44604008

Least common multiple can be found by multiplying the highest exponent prime factors of 9442 and 9448. First we will calculate the prime factors of 9442 and 9448.

Prime Factorization of 9442


2 9442
4721 4721
1

Prime factors of 9442 are 2,4721. Prime factorization of 9442 in exponential form is:

9442 = 21×47211

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 9442 and 9448.

LCM(9442,9448) = 23×11811×47211
LCM(9442,9448) = 44604008

Factors of 9442

List of positive integer factors of 9442 that divides 9442 without a remainder.

1, 2, 4721, 9442

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 9442 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 9442 and 9448, than apply into the LCM equation.

GCF(9442,9448) = 2
LCM(9442,9448) = ( 9442 × 9448) / 2
LCM(9442,9448) = 89208016 / 2
LCM(9442,9448) = 44604008

Properties of LCM 9442 and 9448

(i) The LCM of 9448 and 9442 is associative

LCM of 9442 and 9448 = LCM of 9448 and 9442

Related Least Common Multiples of 9442

Related Least Common Multiples of 9448

Frequently Asked Questions on LCM of 9442 and 9448

1. What is the LCM of 9442 and 9448?

Answer: LCM of 9442 and 9448 is 44604008.

2. What are the Factors of 9442?

Answer: Factors of 9442 are 1, 2, 4721, 9442. There are 4 integers that are factors of 9442. The greatest factor of 9442 is 9442.

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 9442 and 9448?

Answer:

Least Common Multiple of 9442 and 9448 = 44604008

Step 1: Find the prime factorization of 9442

9442 = 2 x 4721

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 = 44604008 = 2 x 2 x 2 x 1181 x 4721

Step 4: Therefore, the least common multiple of 9442 and 9448 is 44604008.