Least Common Multiple of 9872 and 9877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9872 and 9877 the smallest integer that is 97505744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9872 and 9877 is 97505744.

LCM(9872,9877) = 97505744

LCM of 9872 and 9877

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

LCM of:
and

Least Common Multiple of 9872 and 9877

LCM of 9872 and 9877 is 97505744

Least common multiple can be found by multiplying the highest exponent prime factors of 9872 and 9877. First we will calculate the prime factors of 9872 and 9877.

Prime Factorization of 9872


2 9872
2 4936
2 2468
2 1234
617 617
1

Prime factors of 9872 are 2,617. Prime factorization of 9872 in exponential form is:

9872 = 24×6171

Prime Factorization of 9877


7 9877
17 1411
83 83
1

Prime factors of 9877 are 7, 17,83. Prime factorization of 9877 in exponential form is:

9877 = 71×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9872 and 9877.

LCM(9872,9877) = 24×71×171×831×6171
LCM(9872,9877) = 97505744

Factors of 9872

List of positive integer factors of 9872 that divides 9872 without a remainder.

1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872

Factors of 9877

List of positive integer factors of 9877 that divides 9877 without a remainder.

1, 7, 17, 83, 119, 581, 1411, 9877

Least Common Multiple of 9872 and 9877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9872 and 9877, than apply into the LCM equation.

GCF(9872,9877) = 1
LCM(9872,9877) = ( 9872 × 9877) / 1
LCM(9872,9877) = 97505744 / 1
LCM(9872,9877) = 97505744

Properties of LCM 9872 and 9877

(i) The LCM of 9877 and 9872 is associative

LCM of 9872 and 9877 = LCM of 9877 and 9872

Related Least Common Multiples of 9872

Related Least Common Multiples of 9877

Frequently Asked Questions on LCM of 9872 and 9877

1. What is the LCM of 9872 and 9877?

Answer: LCM of 9872 and 9877 is 97505744.

2. What are the Factors of 9872?

Answer: Factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872. There are 10 integers that are factors of 9872. The greatest factor of 9872 is 9872.

3. What are the Factors of 9877?

Answer: Factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877. There are 8 integers that are factors of 9877. The greatest factor of 9877 is 9877.

4. How to Find the LCM of 9872 and 9877?

Answer:

Least Common Multiple of 9872 and 9877 = 97505744

Step 1: Find the prime factorization of 9872

9872 = 2 x 2 x 2 x 2 x 617

Step 2: Find the prime factorization of 9877

9877 = 7 x 17 x 83

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

LCM = 97505744 = 2 x 2 x 2 x 2 x 7 x 17 x 83 x 617

Step 4: Therefore, the least common multiple of 9872 and 9877 is 97505744.