Least Common Multiple of 9441 and 9446

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 9446 the smallest integer that is 89179686 that is divisible by both numbers.

Least Common Multiple (LCM) of 9441 and 9446 is 89179686.

LCM(9441,9446) = 89179686

LCM of 9441 and 9446

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

LCM of:
and

Least Common Multiple of 9441 and 9446

LCM of 9441 and 9446 is 89179686

Least common multiple can be found by multiplying the highest exponent prime factors of 9441 and 9446. First we will calculate the prime factors of 9441 and 9446.

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 9446


2 9446
4723 4723
1

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

9446 = 21×47231

Now multiplying the highest exponent prime factors to calculate the LCM of 9441 and 9446.

LCM(9441,9446) = 21×32×10491×47231
LCM(9441,9446) = 89179686

Factors of 9441

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

1, 3, 9, 1049, 3147, 9441

Factors of 9446

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

1, 2, 4723, 9446

Least Common Multiple of 9441 and 9446 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 9446, than apply into the LCM equation.

GCF(9441,9446) = 1
LCM(9441,9446) = ( 9441 × 9446) / 1
LCM(9441,9446) = 89179686 / 1
LCM(9441,9446) = 89179686

Properties of LCM 9441 and 9446

(i) The LCM of 9446 and 9441 is associative

LCM of 9441 and 9446 = LCM of 9446 and 9441

Related Least Common Multiples of 9441

Related Least Common Multiples of 9446

Frequently Asked Questions on LCM of 9441 and 9446

1. What is the LCM of 9441 and 9446?

Answer: LCM of 9441 and 9446 is 89179686.

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 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.

4. How to Find the LCM of 9441 and 9446?

Answer:

Least Common Multiple of 9441 and 9446 = 89179686

Step 1: Find the prime factorization of 9441

9441 = 3 x 3 x 1049

Step 2: Find the prime factorization of 9446

9446 = 2 x 4723

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

LCM = 89179686 = 2 x 3 x 3 x 1049 x 4723

Step 4: Therefore, the least common multiple of 9441 and 9446 is 89179686.