Least Common Multiple of 9853 and 9859

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 9859 the smallest integer that is 97140727 that is divisible by both numbers.

Least Common Multiple (LCM) of 9853 and 9859 is 97140727.

LCM(9853,9859) = 97140727

LCM of 9853 and 9859

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

LCM of:
and

Least Common Multiple of 9853 and 9859

LCM of 9853 and 9859 is 97140727

Least common multiple can be found by multiplying the highest exponent prime factors of 9853 and 9859. First we will calculate the prime factors of 9853 and 9859.

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 9859


9859 9859
1

Prime factors of 9859 are 9859. Prime factorization of 9859 in exponential form is:

9859 = 98591

Now multiplying the highest exponent prime factors to calculate the LCM of 9853 and 9859.

LCM(9853,9859) = 591×1671×98591
LCM(9853,9859) = 97140727

Factors of 9853

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

1, 59, 167, 9853

Factors of 9859

List of positive integer factors of 9859 that divides 9859 without a remainder.

1, 9859

Least Common Multiple of 9853 and 9859 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 9859, than apply into the LCM equation.

GCF(9853,9859) = 1
LCM(9853,9859) = ( 9853 × 9859) / 1
LCM(9853,9859) = 97140727 / 1
LCM(9853,9859) = 97140727

Properties of LCM 9853 and 9859

(i) The LCM of 9859 and 9853 is associative

LCM of 9853 and 9859 = LCM of 9859 and 9853

Related Least Common Multiples of 9853

Related Least Common Multiples of 9859

Frequently Asked Questions on LCM of 9853 and 9859

1. What is the LCM of 9853 and 9859?

Answer: LCM of 9853 and 9859 is 97140727.

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 9859?

Answer: Factors of 9859 are 1, 9859. There are 2 integers that are factors of 9859. The greatest factor of 9859 is 9859.

4. How to Find the LCM of 9853 and 9859?

Answer:

Least Common Multiple of 9853 and 9859 = 97140727

Step 1: Find the prime factorization of 9853

9853 = 59 x 167

Step 2: Find the prime factorization of 9859

9859 = 9859

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

LCM = 97140727 = 59 x 167 x 9859

Step 4: Therefore, the least common multiple of 9853 and 9859 is 97140727.