Least Common Multiple of 9865 and 9873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9865 and 9873 the smallest integer that is 97397145 that is divisible by both numbers.

Least Common Multiple (LCM) of 9865 and 9873 is 97397145.

LCM(9865,9873) = 97397145

LCM of 9865 and 9873

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

LCM of:
and

Least Common Multiple of 9865 and 9873

LCM of 9865 and 9873 is 97397145

Least common multiple can be found by multiplying the highest exponent prime factors of 9865 and 9873. First we will calculate the prime factors of 9865 and 9873.

Prime Factorization of 9865


5 9865
1973 1973
1

Prime factors of 9865 are 5,1973. Prime factorization of 9865 in exponential form is:

9865 = 51×19731

Prime Factorization of 9873


3 9873
3 3291
1097 1097
1

Prime factors of 9873 are 3,1097. Prime factorization of 9873 in exponential form is:

9873 = 32×10971

Now multiplying the highest exponent prime factors to calculate the LCM of 9865 and 9873.

LCM(9865,9873) = 32×51×10971×19731
LCM(9865,9873) = 97397145

Factors of 9865

List of positive integer factors of 9865 that divides 9865 without a remainder.

1, 5, 1973, 9865

Factors of 9873

List of positive integer factors of 9873 that divides 9873 without a remainder.

1, 3, 9, 1097, 3291, 9873

Least Common Multiple of 9865 and 9873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9865 and 9873, than apply into the LCM equation.

GCF(9865,9873) = 1
LCM(9865,9873) = ( 9865 × 9873) / 1
LCM(9865,9873) = 97397145 / 1
LCM(9865,9873) = 97397145

Properties of LCM 9865 and 9873

(i) The LCM of 9873 and 9865 is associative

LCM of 9865 and 9873 = LCM of 9873 and 9865

Related Least Common Multiples of 9865

Related Least Common Multiples of 9873

Frequently Asked Questions on LCM of 9865 and 9873

1. What is the LCM of 9865 and 9873?

Answer: LCM of 9865 and 9873 is 97397145.

2. What are the Factors of 9865?

Answer: Factors of 9865 are 1, 5, 1973, 9865. There are 4 integers that are factors of 9865. The greatest factor of 9865 is 9865.

3. What are the Factors of 9873?

Answer: Factors of 9873 are 1, 3, 9, 1097, 3291, 9873. There are 6 integers that are factors of 9873. The greatest factor of 9873 is 9873.

4. How to Find the LCM of 9865 and 9873?

Answer:

Least Common Multiple of 9865 and 9873 = 97397145

Step 1: Find the prime factorization of 9865

9865 = 5 x 1973

Step 2: Find the prime factorization of 9873

9873 = 3 x 3 x 1097

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

LCM = 97397145 = 3 x 3 x 5 x 1097 x 1973

Step 4: Therefore, the least common multiple of 9865 and 9873 is 97397145.