Least Common Multiple of 9859 and 9861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9859 and 9861 the smallest integer that is 97219599 that is divisible by both numbers.

Least Common Multiple (LCM) of 9859 and 9861 is 97219599.

LCM(9859,9861) = 97219599

LCM of 9859 and 9861

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

LCM of:
and

Least Common Multiple of 9859 and 9861

LCM of 9859 and 9861 is 97219599

Least common multiple can be found by multiplying the highest exponent prime factors of 9859 and 9861. First we will calculate the prime factors of 9859 and 9861.

Prime Factorization of 9859


9859 9859
1

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

9859 = 98591

Prime Factorization of 9861


3 9861
19 3287
173 173
1

Prime factors of 9861 are 3, 19,173. Prime factorization of 9861 in exponential form is:

9861 = 31×191×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 9859 and 9861.

LCM(9859,9861) = 31×191×1731×98591
LCM(9859,9861) = 97219599

Factors of 9859

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

1, 9859

Factors of 9861

List of positive integer factors of 9861 that divides 9861 without a remainder.

1, 3, 19, 57, 173, 519, 3287, 9861

Least Common Multiple of 9859 and 9861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9859 and 9861, than apply into the LCM equation.

GCF(9859,9861) = 1
LCM(9859,9861) = ( 9859 × 9861) / 1
LCM(9859,9861) = 97219599 / 1
LCM(9859,9861) = 97219599

Properties of LCM 9859 and 9861

(i) The LCM of 9861 and 9859 is associative

LCM of 9859 and 9861 = LCM of 9861 and 9859

Related Least Common Multiples of 9859

Related Least Common Multiples of 9861

Frequently Asked Questions on LCM of 9859 and 9861

1. What is the LCM of 9859 and 9861?

Answer: LCM of 9859 and 9861 is 97219599.

2. 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.

3. What are the Factors of 9861?

Answer: Factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861. There are 8 integers that are factors of 9861. The greatest factor of 9861 is 9861.

4. How to Find the LCM of 9859 and 9861?

Answer:

Least Common Multiple of 9859 and 9861 = 97219599

Step 1: Find the prime factorization of 9859

9859 = 9859

Step 2: Find the prime factorization of 9861

9861 = 3 x 19 x 173

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

LCM = 97219599 = 3 x 19 x 173 x 9859

Step 4: Therefore, the least common multiple of 9859 and 9861 is 97219599.