Least Common Multiple of 9791 and 9797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9791 and 9797 the smallest integer that is 95922427 that is divisible by both numbers.

Least Common Multiple (LCM) of 9791 and 9797 is 95922427.

LCM(9791,9797) = 95922427

LCM of 9791 and 9797

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

LCM of:
and

Least Common Multiple of 9791 and 9797

LCM of 9791 and 9797 is 95922427

Least common multiple can be found by multiplying the highest exponent prime factors of 9791 and 9797. First we will calculate the prime factors of 9791 and 9797.

Prime Factorization of 9791


9791 9791
1

Prime factors of 9791 are 9791. Prime factorization of 9791 in exponential form is:

9791 = 97911

Prime Factorization of 9797


97 9797
101 101
1

Prime factors of 9797 are 97,101. Prime factorization of 9797 in exponential form is:

9797 = 971×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9791 and 9797.

LCM(9791,9797) = 971×1011×97911
LCM(9791,9797) = 95922427

Factors of 9791

List of positive integer factors of 9791 that divides 9791 without a remainder.

1, 9791

Factors of 9797

List of positive integer factors of 9797 that divides 9797 without a remainder.

1, 97, 101, 9797

Least Common Multiple of 9791 and 9797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9791 and 9797, than apply into the LCM equation.

GCF(9791,9797) = 1
LCM(9791,9797) = ( 9791 × 9797) / 1
LCM(9791,9797) = 95922427 / 1
LCM(9791,9797) = 95922427

Properties of LCM 9791 and 9797

(i) The LCM of 9797 and 9791 is associative

LCM of 9791 and 9797 = LCM of 9797 and 9791

Related Least Common Multiples of 9791

Related Least Common Multiples of 9797

Frequently Asked Questions on LCM of 9791 and 9797

1. What is the LCM of 9791 and 9797?

Answer: LCM of 9791 and 9797 is 95922427.

2. What are the Factors of 9791?

Answer: Factors of 9791 are 1, 9791. There are 2 integers that are factors of 9791. The greatest factor of 9791 is 9791.

3. What are the Factors of 9797?

Answer: Factors of 9797 are 1, 97, 101, 9797. There are 4 integers that are factors of 9797. The greatest factor of 9797 is 9797.

4. How to Find the LCM of 9791 and 9797?

Answer:

Least Common Multiple of 9791 and 9797 = 95922427

Step 1: Find the prime factorization of 9791

9791 = 9791

Step 2: Find the prime factorization of 9797

9797 = 97 x 101

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

LCM = 95922427 = 97 x 101 x 9791

Step 4: Therefore, the least common multiple of 9791 and 9797 is 95922427.