Least Common Multiple of 9795 and 9799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9795 and 9799 the smallest integer that is 95981205 that is divisible by both numbers.

Least Common Multiple (LCM) of 9795 and 9799 is 95981205.

LCM(9795,9799) = 95981205

LCM of 9795 and 9799

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

LCM of:
and

Least Common Multiple of 9795 and 9799

LCM of 9795 and 9799 is 95981205

Least common multiple can be found by multiplying the highest exponent prime factors of 9795 and 9799. First we will calculate the prime factors of 9795 and 9799.

Prime Factorization of 9795


3 9795
5 3265
653 653
1

Prime factors of 9795 are 3, 5,653. Prime factorization of 9795 in exponential form is:

9795 = 31×51×6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9795 and 9799.

LCM(9795,9799) = 31×51×411×2391×6531
LCM(9795,9799) = 95981205

Factors of 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1, 3, 5, 15, 653, 1959, 3265, 9795

Factors of 9799

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

1, 41, 239, 9799

Least Common Multiple of 9795 and 9799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9795 and 9799, than apply into the LCM equation.

GCF(9795,9799) = 1
LCM(9795,9799) = ( 9795 × 9799) / 1
LCM(9795,9799) = 95981205 / 1
LCM(9795,9799) = 95981205

Properties of LCM 9795 and 9799

(i) The LCM of 9799 and 9795 is associative

LCM of 9795 and 9799 = LCM of 9799 and 9795

Related Least Common Multiples of 9795

Related Least Common Multiples of 9799

Frequently Asked Questions on LCM of 9795 and 9799

1. What is the LCM of 9795 and 9799?

Answer: LCM of 9795 and 9799 is 95981205.

2. What are the Factors of 9795?

Answer: Factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795. There are 8 integers that are factors of 9795. The greatest factor of 9795 is 9795.

3. 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.

4. How to Find the LCM of 9795 and 9799?

Answer:

Least Common Multiple of 9795 and 9799 = 95981205

Step 1: Find the prime factorization of 9795

9795 = 3 x 5 x 653

Step 2: Find the prime factorization of 9799

9799 = 41 x 239

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

LCM = 95981205 = 3 x 5 x 41 x 239 x 653

Step 4: Therefore, the least common multiple of 9795 and 9799 is 95981205.