Least Common Multiple of 8869 and 8874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8869 and 8874 the smallest integer that is 78703506 that is divisible by both numbers.

Least Common Multiple (LCM) of 8869 and 8874 is 78703506.

LCM(8869,8874) = 78703506

LCM of 8869 and 8874

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

LCM of:
and

Least Common Multiple of 8869 and 8874

LCM of 8869 and 8874 is 78703506

Least common multiple can be found by multiplying the highest exponent prime factors of 8869 and 8874. First we will calculate the prime factors of 8869 and 8874.

Prime Factorization of 8869


7 8869
7 1267
181 181
1

Prime factors of 8869 are 7,181. Prime factorization of 8869 in exponential form is:

8869 = 72×1811

Prime Factorization of 8874


2 8874
3 4437
3 1479
17 493
29 29
1

Prime factors of 8874 are 2, 3, 17,29. Prime factorization of 8874 in exponential form is:

8874 = 21×32×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8869 and 8874.

LCM(8869,8874) = 21×32×72×171×291×1811
LCM(8869,8874) = 78703506

Factors of 8869

List of positive integer factors of 8869 that divides 8869 without a remainder.

1, 7, 49, 181, 1267, 8869

Factors of 8874

List of positive integer factors of 8874 that divides 8874 without a remainder.

1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874

Least Common Multiple of 8869 and 8874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8869 and 8874, than apply into the LCM equation.

GCF(8869,8874) = 1
LCM(8869,8874) = ( 8869 × 8874) / 1
LCM(8869,8874) = 78703506 / 1
LCM(8869,8874) = 78703506

Properties of LCM 8869 and 8874

(i) The LCM of 8874 and 8869 is associative

LCM of 8869 and 8874 = LCM of 8874 and 8869

Related Least Common Multiples of 8869

Related Least Common Multiples of 8874

Frequently Asked Questions on LCM of 8869 and 8874

1. What is the LCM of 8869 and 8874?

Answer: LCM of 8869 and 8874 is 78703506.

2. What are the Factors of 8869?

Answer: Factors of 8869 are 1, 7, 49, 181, 1267, 8869. There are 6 integers that are factors of 8869. The greatest factor of 8869 is 8869.

3. What are the Factors of 8874?

Answer: Factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874. There are 24 integers that are factors of 8874. The greatest factor of 8874 is 8874.

4. How to Find the LCM of 8869 and 8874?

Answer:

Least Common Multiple of 8869 and 8874 = 78703506

Step 1: Find the prime factorization of 8869

8869 = 7 x 7 x 181

Step 2: Find the prime factorization of 8874

8874 = 2 x 3 x 3 x 17 x 29

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

LCM = 78703506 = 2 x 3 x 3 x 7 x 7 x 17 x 29 x 181

Step 4: Therefore, the least common multiple of 8869 and 8874 is 78703506.