Least Common Multiple of 9861 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 9861 and 9865 the smallest integer that is 97278765 that is divisible by both numbers.

Least Common Multiple (LCM) of 9861 and 9865 is 97278765.

LCM(9861,9865) = 97278765

LCM of 9861 and 9865

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

LCM of:
and

Least Common Multiple of 9861 and 9865

LCM of 9861 and 9865 is 97278765

Least common multiple can be found by multiplying the highest exponent prime factors of 9861 and 9865. First we will calculate the prime factors of 9861 and 9865.

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

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 9861 and 9865.

LCM(9861,9865) = 31×51×191×1731×19731
LCM(9861,9865) = 97278765

Factors of 9861

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

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

Factors of 9865

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

1, 5, 1973, 9865

Least Common Multiple of 9861 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 9861 and 9865, than apply into the LCM equation.

GCF(9861,9865) = 1
LCM(9861,9865) = ( 9861 × 9865) / 1
LCM(9861,9865) = 97278765 / 1
LCM(9861,9865) = 97278765

Properties of LCM 9861 and 9865

(i) The LCM of 9865 and 9861 is associative

LCM of 9861 and 9865 = LCM of 9865 and 9861

Related Least Common Multiples of 9861

Related Least Common Multiples of 9865

Frequently Asked Questions on LCM of 9861 and 9865

1. What is the LCM of 9861 and 9865?

Answer: LCM of 9861 and 9865 is 97278765.

2. 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.

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 9861 and 9865?

Answer:

Least Common Multiple of 9861 and 9865 = 97278765

Step 1: Find the prime factorization of 9861

9861 = 3 x 19 x 173

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 = 97278765 = 3 x 5 x 19 x 173 x 1973

Step 4: Therefore, the least common multiple of 9861 and 9865 is 97278765.