Least Common Multiple of 9799 and 9807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9799 and 9807 the smallest integer that is 96098793 that is divisible by both numbers.

Least Common Multiple (LCM) of 9799 and 9807 is 96098793.

LCM(9799,9807) = 96098793

LCM of 9799 and 9807

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

LCM of:
and

Least Common Multiple of 9799 and 9807

LCM of 9799 and 9807 is 96098793

Least common multiple can be found by multiplying the highest exponent prime factors of 9799 and 9807. First we will calculate the prime factors of 9799 and 9807.

Prime Factorization of 9799


41 9799
239 239
1

Prime factors of 9799 are 41,239. Prime factorization of 9799 in exponential form is:

9799 = 411×2391

Prime Factorization of 9807


3 9807
7 3269
467 467
1

Prime factors of 9807 are 3, 7,467. Prime factorization of 9807 in exponential form is:

9807 = 31×71×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 9799 and 9807.

LCM(9799,9807) = 31×71×411×2391×4671
LCM(9799,9807) = 96098793

Factors of 9799

List of positive integer factors of 9799 that divides 9799 without a remainder.

1, 41, 239, 9799

Factors of 9807

List of positive integer factors of 9807 that divides 9807 without a remainder.

1, 3, 7, 21, 467, 1401, 3269, 9807

Least Common Multiple of 9799 and 9807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9799 and 9807, than apply into the LCM equation.

GCF(9799,9807) = 1
LCM(9799,9807) = ( 9799 × 9807) / 1
LCM(9799,9807) = 96098793 / 1
LCM(9799,9807) = 96098793

Properties of LCM 9799 and 9807

(i) The LCM of 9807 and 9799 is associative

LCM of 9799 and 9807 = LCM of 9807 and 9799

Related Least Common Multiples of 9799

Related Least Common Multiples of 9807

Frequently Asked Questions on LCM of 9799 and 9807

1. What is the LCM of 9799 and 9807?

Answer: LCM of 9799 and 9807 is 96098793.

2. What are the Factors of 9799?

Answer: Factors of 9799 are 1, 41, 239, 9799. There are 4 integers that are factors of 9799. The greatest factor of 9799 is 9799.

3. What are the Factors of 9807?

Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.

4. How to Find the LCM of 9799 and 9807?

Answer:

Least Common Multiple of 9799 and 9807 = 96098793

Step 1: Find the prime factorization of 9799

9799 = 41 x 239

Step 2: Find the prime factorization of 9807

9807 = 3 x 7 x 467

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

LCM = 96098793 = 3 x 7 x 41 x 239 x 467

Step 4: Therefore, the least common multiple of 9799 and 9807 is 96098793.