Least Common Multiple of 9853 and 9857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9853 and 9857 the smallest integer that is 97121021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9853 and 9857 is 97121021.

LCM(9853,9857) = 97121021

LCM of 9853 and 9857

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

LCM of:
and

Least Common Multiple of 9853 and 9857

LCM of 9853 and 9857 is 97121021

Least common multiple can be found by multiplying the highest exponent prime factors of 9853 and 9857. First we will calculate the prime factors of 9853 and 9857.

Prime Factorization of 9853


59 9853
167 167
1

Prime factors of 9853 are 59,167. Prime factorization of 9853 in exponential form is:

9853 = 591×1671

Prime Factorization of 9857


9857 9857
1

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

9857 = 98571

Now multiplying the highest exponent prime factors to calculate the LCM of 9853 and 9857.

LCM(9853,9857) = 591×1671×98571
LCM(9853,9857) = 97121021

Factors of 9853

List of positive integer factors of 9853 that divides 9853 without a remainder.

1, 59, 167, 9853

Factors of 9857

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

1, 9857

Least Common Multiple of 9853 and 9857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9853 and 9857, than apply into the LCM equation.

GCF(9853,9857) = 1
LCM(9853,9857) = ( 9853 × 9857) / 1
LCM(9853,9857) = 97121021 / 1
LCM(9853,9857) = 97121021

Properties of LCM 9853 and 9857

(i) The LCM of 9857 and 9853 is associative

LCM of 9853 and 9857 = LCM of 9857 and 9853

Related Least Common Multiples of 9853

Related Least Common Multiples of 9857

Frequently Asked Questions on LCM of 9853 and 9857

1. What is the LCM of 9853 and 9857?

Answer: LCM of 9853 and 9857 is 97121021.

2. What are the Factors of 9853?

Answer: Factors of 9853 are 1, 59, 167, 9853. There are 4 integers that are factors of 9853. The greatest factor of 9853 is 9853.

3. 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.

4. How to Find the LCM of 9853 and 9857?

Answer:

Least Common Multiple of 9853 and 9857 = 97121021

Step 1: Find the prime factorization of 9853

9853 = 59 x 167

Step 2: Find the prime factorization of 9857

9857 = 9857

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

LCM = 97121021 = 59 x 167 x 9857

Step 4: Therefore, the least common multiple of 9853 and 9857 is 97121021.