Least Common Multiple of 9485 and 9493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9485 and 9493 the smallest integer that is 90041105 that is divisible by both numbers.

Least Common Multiple (LCM) of 9485 and 9493 is 90041105.

LCM(9485,9493) = 90041105

LCM of 9485 and 9493

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

LCM of:
and

Least Common Multiple of 9485 and 9493

LCM of 9485 and 9493 is 90041105

Least common multiple can be found by multiplying the highest exponent prime factors of 9485 and 9493. First we will calculate the prime factors of 9485 and 9493.

Prime Factorization of 9485


5 9485
7 1897
271 271
1

Prime factors of 9485 are 5, 7,271. Prime factorization of 9485 in exponential form is:

9485 = 51×71×2711

Prime Factorization of 9493


11 9493
863 863
1

Prime factors of 9493 are 11,863. Prime factorization of 9493 in exponential form is:

9493 = 111×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 9485 and 9493.

LCM(9485,9493) = 51×71×111×2711×8631
LCM(9485,9493) = 90041105

Factors of 9485

List of positive integer factors of 9485 that divides 9485 without a remainder.

1, 5, 7, 35, 271, 1355, 1897, 9485

Factors of 9493

List of positive integer factors of 9493 that divides 9493 without a remainder.

1, 11, 863, 9493

Least Common Multiple of 9485 and 9493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9485 and 9493, than apply into the LCM equation.

GCF(9485,9493) = 1
LCM(9485,9493) = ( 9485 × 9493) / 1
LCM(9485,9493) = 90041105 / 1
LCM(9485,9493) = 90041105

Properties of LCM 9485 and 9493

(i) The LCM of 9493 and 9485 is associative

LCM of 9485 and 9493 = LCM of 9493 and 9485

Related Least Common Multiples of 9485

Related Least Common Multiples of 9493

Frequently Asked Questions on LCM of 9485 and 9493

1. What is the LCM of 9485 and 9493?

Answer: LCM of 9485 and 9493 is 90041105.

2. What are the Factors of 9485?

Answer: Factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485. There are 8 integers that are factors of 9485. The greatest factor of 9485 is 9485.

3. What are the Factors of 9493?

Answer: Factors of 9493 are 1, 11, 863, 9493. There are 4 integers that are factors of 9493. The greatest factor of 9493 is 9493.

4. How to Find the LCM of 9485 and 9493?

Answer:

Least Common Multiple of 9485 and 9493 = 90041105

Step 1: Find the prime factorization of 9485

9485 = 5 x 7 x 271

Step 2: Find the prime factorization of 9493

9493 = 11 x 863

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

LCM = 90041105 = 5 x 7 x 11 x 271 x 863

Step 4: Therefore, the least common multiple of 9485 and 9493 is 90041105.