Least Common Multiple of 8837 and 8841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8837 and 8841 the smallest integer that is 78127917 that is divisible by both numbers.

Least Common Multiple (LCM) of 8837 and 8841 is 78127917.

LCM(8837,8841) = 78127917

LCM of 8837 and 8841

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

LCM of:
and

Least Common Multiple of 8837 and 8841

LCM of 8837 and 8841 is 78127917

Least common multiple can be found by multiplying the highest exponent prime factors of 8837 and 8841. First we will calculate the prime factors of 8837 and 8841.

Prime Factorization of 8837


8837 8837
1

Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:

8837 = 88371

Prime Factorization of 8841


3 8841
7 2947
421 421
1

Prime factors of 8841 are 3, 7,421. Prime factorization of 8841 in exponential form is:

8841 = 31×71×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 8837 and 8841.

LCM(8837,8841) = 31×71×4211×88371
LCM(8837,8841) = 78127917

Factors of 8837

List of positive integer factors of 8837 that divides 8837 without a remainder.

1, 8837

Factors of 8841

List of positive integer factors of 8841 that divides 8841 without a remainder.

1, 3, 7, 21, 421, 1263, 2947, 8841

Least Common Multiple of 8837 and 8841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8837 and 8841, than apply into the LCM equation.

GCF(8837,8841) = 1
LCM(8837,8841) = ( 8837 × 8841) / 1
LCM(8837,8841) = 78127917 / 1
LCM(8837,8841) = 78127917

Properties of LCM 8837 and 8841

(i) The LCM of 8841 and 8837 is associative

LCM of 8837 and 8841 = LCM of 8841 and 8837

Frequently Asked Questions on LCM of 8837 and 8841

1. What is the LCM of 8837 and 8841?

Answer: LCM of 8837 and 8841 is 78127917.

2. What are the Factors of 8837?

Answer: Factors of 8837 are 1, 8837. There are 2 integers that are factors of 8837. The greatest factor of 8837 is 8837.

3. What are the Factors of 8841?

Answer: Factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841. There are 8 integers that are factors of 8841. The greatest factor of 8841 is 8841.

4. How to Find the LCM of 8837 and 8841?

Answer:

Least Common Multiple of 8837 and 8841 = 78127917

Step 1: Find the prime factorization of 8837

8837 = 8837

Step 2: Find the prime factorization of 8841

8841 = 3 x 7 x 421

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

LCM = 78127917 = 3 x 7 x 421 x 8837

Step 4: Therefore, the least common multiple of 8837 and 8841 is 78127917.