Least Common Multiple of 9446 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 9446 and 9454 the smallest integer that is 44651242 that is divisible by both numbers.

Least Common Multiple (LCM) of 9446 and 9454 is 44651242.

LCM(9446,9454) = 44651242

LCM of 9446 and 9454

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

LCM of:
and

Least Common Multiple of 9446 and 9454

LCM of 9446 and 9454 is 44651242

Least common multiple can be found by multiplying the highest exponent prime factors of 9446 and 9454. First we will calculate the prime factors of 9446 and 9454.

Prime Factorization of 9446


2 9446
4723 4723
1

Prime factors of 9446 are 2,4723. Prime factorization of 9446 in exponential form is:

9446 = 21×47231

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 9446 and 9454.

LCM(9446,9454) = 21×291×1631×47231
LCM(9446,9454) = 44651242

Factors of 9446

List of positive integer factors of 9446 that divides 9446 without a remainder.

1, 2, 4723, 9446

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 9446 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 9446 and 9454, than apply into the LCM equation.

GCF(9446,9454) = 2
LCM(9446,9454) = ( 9446 × 9454) / 2
LCM(9446,9454) = 89302484 / 2
LCM(9446,9454) = 44651242

Properties of LCM 9446 and 9454

(i) The LCM of 9454 and 9446 is associative

LCM of 9446 and 9454 = LCM of 9454 and 9446

Related Least Common Multiples of 9446

Related Least Common Multiples of 9454

Frequently Asked Questions on LCM of 9446 and 9454

1. What is the LCM of 9446 and 9454?

Answer: LCM of 9446 and 9454 is 44651242.

2. What are the Factors of 9446?

Answer: Factors of 9446 are 1, 2, 4723, 9446. There are 4 integers that are factors of 9446. The greatest factor of 9446 is 9446.

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 9446 and 9454?

Answer:

Least Common Multiple of 9446 and 9454 = 44651242

Step 1: Find the prime factorization of 9446

9446 = 2 x 4723

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 = 44651242 = 2 x 29 x 163 x 4723

Step 4: Therefore, the least common multiple of 9446 and 9454 is 44651242.