Least Common Multiple of 9868 and 9869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9868 and 9869 the smallest integer that is 97387292 that is divisible by both numbers.

Least Common Multiple (LCM) of 9868 and 9869 is 97387292.

LCM(9868,9869) = 97387292

LCM of 9868 and 9869

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

LCM of:
and

Least Common Multiple of 9868 and 9869

LCM of 9868 and 9869 is 97387292

Least common multiple can be found by multiplying the highest exponent prime factors of 9868 and 9869. First we will calculate the prime factors of 9868 and 9869.

Prime Factorization of 9868


2 9868
2 4934
2467 2467
1

Prime factors of 9868 are 2,2467. Prime factorization of 9868 in exponential form is:

9868 = 22×24671

Prime Factorization of 9869


71 9869
139 139
1

Prime factors of 9869 are 71,139. Prime factorization of 9869 in exponential form is:

9869 = 711×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9868 and 9869.

LCM(9868,9869) = 22×711×1391×24671
LCM(9868,9869) = 97387292

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1, 2, 4, 2467, 4934, 9868

Factors of 9869

List of positive integer factors of 9869 that divides 9869 without a remainder.

1, 71, 139, 9869

Least Common Multiple of 9868 and 9869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9868 and 9869, than apply into the LCM equation.

GCF(9868,9869) = 1
LCM(9868,9869) = ( 9868 × 9869) / 1
LCM(9868,9869) = 97387292 / 1
LCM(9868,9869) = 97387292

Properties of LCM 9868 and 9869

(i) The LCM of 9869 and 9868 is associative

LCM of 9868 and 9869 = LCM of 9869 and 9868

Related Least Common Multiples of 9868

Related Least Common Multiples of 9869

Frequently Asked Questions on LCM of 9868 and 9869

1. What is the LCM of 9868 and 9869?

Answer: LCM of 9868 and 9869 is 97387292.

2. What are the Factors of 9868?

Answer: Factors of 9868 are 1, 2, 4, 2467, 4934, 9868. There are 6 integers that are factors of 9868. The greatest factor of 9868 is 9868.

3. What are the Factors of 9869?

Answer: Factors of 9869 are 1, 71, 139, 9869. There are 4 integers that are factors of 9869. The greatest factor of 9869 is 9869.

4. How to Find the LCM of 9868 and 9869?

Answer:

Least Common Multiple of 9868 and 9869 = 97387292

Step 1: Find the prime factorization of 9868

9868 = 2 x 2 x 2467

Step 2: Find the prime factorization of 9869

9869 = 71 x 139

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

LCM = 97387292 = 2 x 2 x 71 x 139 x 2467

Step 4: Therefore, the least common multiple of 9868 and 9869 is 97387292.