Least Common Multiple of 9857 and 9865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9857 and 9865 the smallest integer that is 97239305 that is divisible by both numbers.

Least Common Multiple (LCM) of 9857 and 9865 is 97239305.

LCM(9857,9865) = 97239305

LCM of 9857 and 9865

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

LCM of:
and

Least Common Multiple of 9857 and 9865

LCM of 9857 and 9865 is 97239305

Least common multiple can be found by multiplying the highest exponent prime factors of 9857 and 9865. First we will calculate the prime factors of 9857 and 9865.

Prime Factorization of 9857


9857 9857
1

Prime factors of 9857 are 9857. Prime factorization of 9857 in exponential form is:

9857 = 98571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9857 and 9865.

LCM(9857,9865) = 51×19731×98571
LCM(9857,9865) = 97239305

Factors of 9857

List of positive integer factors of 9857 that divides 9857 without a remainder.

1, 9857

Factors of 9865

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

1, 5, 1973, 9865

Least Common Multiple of 9857 and 9865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9857 and 9865, than apply into the LCM equation.

GCF(9857,9865) = 1
LCM(9857,9865) = ( 9857 × 9865) / 1
LCM(9857,9865) = 97239305 / 1
LCM(9857,9865) = 97239305

Properties of LCM 9857 and 9865

(i) The LCM of 9865 and 9857 is associative

LCM of 9857 and 9865 = LCM of 9865 and 9857

Related Least Common Multiples of 9857

Related Least Common Multiples of 9865

Frequently Asked Questions on LCM of 9857 and 9865

1. What is the LCM of 9857 and 9865?

Answer: LCM of 9857 and 9865 is 97239305.

2. What are the Factors of 9857?

Answer: Factors of 9857 are 1, 9857. There are 2 integers that are factors of 9857. The greatest factor of 9857 is 9857.

3. 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.

4. How to Find the LCM of 9857 and 9865?

Answer:

Least Common Multiple of 9857 and 9865 = 97239305

Step 1: Find the prime factorization of 9857

9857 = 9857

Step 2: Find the prime factorization of 9865

9865 = 5 x 1973

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

LCM = 97239305 = 5 x 1973 x 9857

Step 4: Therefore, the least common multiple of 9857 and 9865 is 97239305.