Least Common Multiple of 9833 and 9835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9833 and 9835 the smallest integer that is 96707555 that is divisible by both numbers.

Least Common Multiple (LCM) of 9833 and 9835 is 96707555.

LCM(9833,9835) = 96707555

LCM of 9833 and 9835

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

LCM of:
and

Least Common Multiple of 9833 and 9835

LCM of 9833 and 9835 is 96707555

Least common multiple can be found by multiplying the highest exponent prime factors of 9833 and 9835. First we will calculate the prime factors of 9833 and 9835.

Prime Factorization of 9833


9833 9833
1

Prime factors of 9833 are 9833. Prime factorization of 9833 in exponential form is:

9833 = 98331

Prime Factorization of 9835


5 9835
7 1967
281 281
1

Prime factors of 9835 are 5, 7,281. Prime factorization of 9835 in exponential form is:

9835 = 51×71×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 9833 and 9835.

LCM(9833,9835) = 51×71×2811×98331
LCM(9833,9835) = 96707555

Factors of 9833

List of positive integer factors of 9833 that divides 9833 without a remainder.

1, 9833

Factors of 9835

List of positive integer factors of 9835 that divides 9835 without a remainder.

1, 5, 7, 35, 281, 1405, 1967, 9835

Least Common Multiple of 9833 and 9835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9833 and 9835, than apply into the LCM equation.

GCF(9833,9835) = 1
LCM(9833,9835) = ( 9833 × 9835) / 1
LCM(9833,9835) = 96707555 / 1
LCM(9833,9835) = 96707555

Properties of LCM 9833 and 9835

(i) The LCM of 9835 and 9833 is associative

LCM of 9833 and 9835 = LCM of 9835 and 9833

Related Least Common Multiples of 9833

Related Least Common Multiples of 9835

Frequently Asked Questions on LCM of 9833 and 9835

1. What is the LCM of 9833 and 9835?

Answer: LCM of 9833 and 9835 is 96707555.

2. What are the Factors of 9833?

Answer: Factors of 9833 are 1, 9833. There are 2 integers that are factors of 9833. The greatest factor of 9833 is 9833.

3. What are the Factors of 9835?

Answer: Factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835. There are 8 integers that are factors of 9835. The greatest factor of 9835 is 9835.

4. How to Find the LCM of 9833 and 9835?

Answer:

Least Common Multiple of 9833 and 9835 = 96707555

Step 1: Find the prime factorization of 9833

9833 = 9833

Step 2: Find the prime factorization of 9835

9835 = 5 x 7 x 281

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

LCM = 96707555 = 5 x 7 x 281 x 9833

Step 4: Therefore, the least common multiple of 9833 and 9835 is 96707555.