Least Common Multiple of 8864 and 8869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8864 and 8869 the smallest integer that is 78614816 that is divisible by both numbers.

Least Common Multiple (LCM) of 8864 and 8869 is 78614816.

LCM(8864,8869) = 78614816

LCM of 8864 and 8869

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

LCM of:
and

Least Common Multiple of 8864 and 8869

LCM of 8864 and 8869 is 78614816

Least common multiple can be found by multiplying the highest exponent prime factors of 8864 and 8869. First we will calculate the prime factors of 8864 and 8869.

Prime Factorization of 8864


2 8864
2 4432
2 2216
2 1108
2 554
277 277
1

Prime factors of 8864 are 2,277. Prime factorization of 8864 in exponential form is:

8864 = 25×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8864 and 8869.

LCM(8864,8869) = 25×72×1811×2771
LCM(8864,8869) = 78614816

Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864

Factors of 8869

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

1, 7, 49, 181, 1267, 8869

Least Common Multiple of 8864 and 8869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8864 and 8869, than apply into the LCM equation.

GCF(8864,8869) = 1
LCM(8864,8869) = ( 8864 × 8869) / 1
LCM(8864,8869) = 78614816 / 1
LCM(8864,8869) = 78614816

Properties of LCM 8864 and 8869

(i) The LCM of 8869 and 8864 is associative

LCM of 8864 and 8869 = LCM of 8869 and 8864

Related Least Common Multiples of 8864

Related Least Common Multiples of 8869

Frequently Asked Questions on LCM of 8864 and 8869

1. What is the LCM of 8864 and 8869?

Answer: LCM of 8864 and 8869 is 78614816.

2. What are the Factors of 8864?

Answer: Factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864. There are 12 integers that are factors of 8864. The greatest factor of 8864 is 8864.

3. 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.

4. How to Find the LCM of 8864 and 8869?

Answer:

Least Common Multiple of 8864 and 8869 = 78614816

Step 1: Find the prime factorization of 8864

8864 = 2 x 2 x 2 x 2 x 2 x 277

Step 2: Find the prime factorization of 8869

8869 = 7 x 7 x 181

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

LCM = 78614816 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 181 x 277

Step 4: Therefore, the least common multiple of 8864 and 8869 is 78614816.