Least Common Multiple of 9404 and 9410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9404 and 9410 the smallest integer that is 44245820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9404 and 9410 is 44245820.

LCM(9404,9410) = 44245820

LCM of 9404 and 9410

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

LCM of:
and

Least Common Multiple of 9404 and 9410

LCM of 9404 and 9410 is 44245820

Least common multiple can be found by multiplying the highest exponent prime factors of 9404 and 9410. First we will calculate the prime factors of 9404 and 9410.

Prime Factorization of 9404


2 9404
2 4702
2351 2351
1

Prime factors of 9404 are 2,2351. Prime factorization of 9404 in exponential form is:

9404 = 22×23511

Prime Factorization of 9410


2 9410
5 4705
941 941
1

Prime factors of 9410 are 2, 5,941. Prime factorization of 9410 in exponential form is:

9410 = 21×51×9411

Now multiplying the highest exponent prime factors to calculate the LCM of 9404 and 9410.

LCM(9404,9410) = 22×51×9411×23511
LCM(9404,9410) = 44245820

Factors of 9404

List of positive integer factors of 9404 that divides 9404 without a remainder.

1, 2, 4, 2351, 4702, 9404

Factors of 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1, 2, 5, 10, 941, 1882, 4705, 9410

Least Common Multiple of 9404 and 9410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9404 and 9410, than apply into the LCM equation.

GCF(9404,9410) = 2
LCM(9404,9410) = ( 9404 × 9410) / 2
LCM(9404,9410) = 88491640 / 2
LCM(9404,9410) = 44245820

Properties of LCM 9404 and 9410

(i) The LCM of 9410 and 9404 is associative

LCM of 9404 and 9410 = LCM of 9410 and 9404

Related Least Common Multiples of 9404

Related Least Common Multiples of 9410

Frequently Asked Questions on LCM of 9404 and 9410

1. What is the LCM of 9404 and 9410?

Answer: LCM of 9404 and 9410 is 44245820.

2. What are the Factors of 9404?

Answer: Factors of 9404 are 1, 2, 4, 2351, 4702, 9404. There are 6 integers that are factors of 9404. The greatest factor of 9404 is 9404.

3. What are the Factors of 9410?

Answer: Factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410. There are 8 integers that are factors of 9410. The greatest factor of 9410 is 9410.

4. How to Find the LCM of 9404 and 9410?

Answer:

Least Common Multiple of 9404 and 9410 = 44245820

Step 1: Find the prime factorization of 9404

9404 = 2 x 2 x 2351

Step 2: Find the prime factorization of 9410

9410 = 2 x 5 x 941

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

LCM = 44245820 = 2 x 2 x 5 x 941 x 2351

Step 4: Therefore, the least common multiple of 9404 and 9410 is 44245820.